Spracherkennung für: .six vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
#SIXFORMAT GapDocGAP
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encoding := "UTF-8",
bookname := "groupoids",
entries :=
[ [ "Title page", "0.0", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5"
],
[ "Abstract", "0.0-1", [ 0, 0, 1 ], 26, 2, "abstract", "X7AA6C5737B711C89" ]
,
[ "Copyright", "0.0-2", [ 0, 0, 2 ], 59, 2, "copyright",
"X81488B807F2A1CF1" ],
[ "Acknowledgements", "0.0-3", [ 0, 0, 3 ], 69, 2, "acknowledgements",
"X82A988D47DFAFCFA" ],
[ "Table of Contents", "0.0-4", [ 0, 0, 4 ], 78, 3, "table of contents",
"X8537FEB07AF2BEC8" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "1",
[ 1, 0, 0 ], 1, 5, "introduction", "X7DFB63A97E67C0A1" ],
[ "\033[1X\033[33X\033[0;-2YMany-object structures\033[133X\033[101X", "2",
[ 2, 0, 0 ], 1, 6, "many-object structures", "X8361CEA4856430C6" ],
[ "\033[1X\033[33X\033[0;-2YMagmas with objects; arrows\033[133X\033[101X",
"2.1", [ 2, 1, 0 ], 19, 6, "magmas with objects arrows",
"X7920BF45828AE5DE" ],
[ "\033[1X\033[33X\033[0;-2YSemigroups with objects\033[133X\033[101X",
"2.2", [ 2, 2, 0 ], 168, 9, "semigroups with objects",
"X7FDF94E8791B9BC1" ],
[ "\033[1X\033[33X\033[0;-2YMonoids with objects\033[133X\033[101X", "2.3",
[ 2, 3, 0 ], 230, 10, "monoids with objects", "X86C32E6981557ED0" ],
[
"\033[1X\033[33X\033[0;-2YGenerators of magmas with objects\033[133X\033[10\
1X", "2.4", [ 2, 4, 0 ], 269, 11, "generators of magmas with objects",
"X842D1B0C7A76CC15" ],
[
"\033[1X\033[33X\033[0;-2YStructures with more than one piece\033[133X\033[\
101X", "2.5", [ 2, 5, 0 ], 314, 11, "structures with more than one piece",
"X7C7007207FD91BB0" ],
[
"\033[1X\033[33X\033[0;-2YMappings of many-object structures\033[133X\033[1\
01X", "3", [ 3, 0, 0 ], 1, 13, "mappings of many-object structures",
"X78FC7902804CED8E" ],
[
"\033[1X\033[33X\033[0;-2YHomomorphisms of magmas with objects\033[133X\\
033[101X", "3.1", [ 3, 1, 0 ], 24, 13, "homomorphisms of magmas with objects",
"X82F856A086B93832" ],
[
"\033[1X\033[33X\033[0;-2YHomomorphisms of semigroups and monoids with obje\
cts\033[133X\033[101X", "3.2", [ 3, 2, 0 ], 103, 15,
"homomorphisms of semigroups and monoids with objects",
"X7C4D1AEE80D41A35" ],
[
"\033[1X\033[33X\033[0;-2YHomomorphisms to more than one piece\033[133X\\
033[101X", "3.3", [ 3, 3, 0 ], 157, 16, "homomorphisms to more than one piece"
, "X795C8DE37AED7B44" ],
[
"\033[1X\033[33X\033[0;-2YMappings defined by a function\033[133X\033[101X"
, "3.4", [ 3, 4, 0 ], 210, 17, "mappings defined by a function",
"X7B9D71BB7BAEFAAA" ],
[ "\033[1X\033[33X\033[0;-2YGroupoids\033[133X\033[101X", "4", [ 4, 0, 0 ],
1, 18, "groupoids", "X82F6A1AB798648F4" ],
[
"\033[1X\033[33X\033[0;-2YGroupoids: their properties and attributes\033[13\
3X\033[101X", "4.1", [ 4, 1, 0 ], 41, 18,
"groupoids: their properties and attributes", "X7AC321DC7E3C6167" ],
[
"\033[1X\033[33X\033[0;-2YGroupoid elements; stars; costars; homsets\033[13\
3X\033[101X", "4.2", [ 4, 2, 0 ], 333, 24,
"groupoid elements stars costars homsets", "X7F23BE3F85C9BA06" ],
[ "\033[1X\033[33X\033[0;-2YSubgroupoids\033[133X\033[101X", "4.3",
[ 4, 3, 0 ], 461, 26, "subgroupoids", "X7BDBA72C852C4625" ],
[ "\033[1X\033[33X\033[0;-2YLeft, right and double cosets\033[133X\033[101X"
, "4.4", [ 4, 4, 0 ], 722, 30, "left right and double cosets",
"X831AA9E8780235F2" ],
[ "\033[1X\033[33X\033[0;-2YConjugation\033[133X\033[101X", "4.5",
[ 4, 5, 0 ], 828, 32, "conjugation", "X8653FC9786E3209A" ],
[
"\033[1X\033[33X\033[0;-2YGroupoids formed using isomorphisms\033[133X\033[\
101X", "4.6", [ 4, 6, 0 ], 922, 34, "groupoids formed using isomorphisms",
"X86DD749283068705" ],
[
"\033[1X\033[33X\033[0;-2YGroupoids whose objects form a monoid\033[133X\\
033[101X", "4.7", [ 4, 7, 0 ], 1005, 35,
"groupoids whose objects form a monoid", "X795DEB3D825B2120" ],
[ "\033[1X\033[33X\033[0;-2YHomomorphisms of Groupoids\033[133X\033[101X",
"5", [ 5, 0, 0 ], 1, 38, "homomorphisms of groupoids",
"X879ED2A7878B5A7A" ],
[
"\033[1X\033[33X\033[0;-2YHomomorphisms from a connected groupoid\033[133X\\
033[101X", "5.1", [ 5, 1, 0 ], 41, 38,
"homomorphisms from a connected groupoid", "X85D28690823636CD" ],
[
"\033[1X\033[33X\033[0;-2YProperties and attributes of groupoid homomorphis\
ms\033[133X\033[101X", "5.2", [ 5, 2, 0 ], 118, 40,
"properties and attributes of groupoid homomorphisms",
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[
"\033[1X\033[33X\033[0;-2YProperties of a groupoid homomorphism\033[133X\\
033[101X", "5.2-1", [ 5, 2, 1 ], 121, 40,
"properties of a groupoid homomorphism", "X83DDA9528396451A" ],
[
"\033[1X\033[33X\033[0;-2YAttributes of a groupoid homomorphism\033[133X\\
033[101X", "5.2-2", [ 5, 2, 2 ], 151, 40,
"attributes of a groupoid homomorphism", "X870565948381B921" ],
[
"\033[1X\033[33X\033[0;-2YSpecial types of groupoid homomorphism\033[133X\\
033[101X", "5.3", [ 5, 3, 0 ], 252, 42,
"special types of groupoid homomorphism", "X7DBC80D8817CDA04" ],
[
"\033[1X\033[33X\033[0;-2YHomomorphisms to a connected groupoid\033[133X\\
033[101X", "5.4", [ 5, 4, 0 ], 440, 45,
"homomorphisms to a connected groupoid", "X7EAAB2A97E097FB6" ],
[
"\033[1X\033[33X\033[0;-2YHomomorphisms to more than one piece\033[133X\\
033[101X", "5.5", [ 5, 5, 0 ], 511, 47, "homomorphisms to more than one piece"
, "X795C8DE37AED7B44" ],
[ "\033[1X\033[33X\033[0;-2YAutomorphisms of Groupoids\033[133X\033[101X",
"6", [ 6, 0, 0 ], 1, 49, "automorphisms of groupoids",
"X803E01577A2B37D2" ],
[
"\033[1X\033[33X\033[0;-2YAutomorphisms of single piece groupoids\033[133X\\
033[101X", "6.1", [ 6, 1, 0 ], 8, 49,
"automorphisms of single piece groupoids", "X7935832881320667" ],
[
"\033[1X\033[33X\033[0;-2YAutomorphisms of a groupoid with rays\033[133X\\
033[101X", "6.1-3", [ 6, 1, 3 ], 196, 52,
"automorphisms of a groupoid with rays", "X8278B93E7F78038C" ],
[ "\033[1X\033[33X\033[0;-2YInner automorphisms\033[133X\033[101X",
"6.1-5", [ 6, 1, 5 ], 323, 54, "inner automorphisms",
"X7EC237ED7E1978B0" ],
[
"\033[1X\033[33X\033[0;-2YMatrix representations of groupoids\033[133X\033[\
101X", "6.2", [ 6, 2, 0 ], 491, 57, "matrix representations of groupoids",
"X8003AF117B956D16" ],
[ "\033[1X\033[33X\033[0;-2YGroupoid actions\033[133X\033[101X", "6.3",
[ 6, 3, 0 ], 553, 58, "groupoid actions", "X7DB8E7EF7A51F1BE" ],
[
"\033[1X\033[33X\033[0;-2YGraphs of Groups and Groupoids\033[133X\033[101X"
, "7", [ 7, 0, 0 ], 1, 61, "graphs of groups and groupoids",
"X78063DC8847554B4" ],
[ "\033[1X\033[33X\033[0;-2YDigraphs\033[133X\033[101X", "7.1",
[ 7, 1, 0 ], 13, 61, "digraphs", "X7D554C5D7FDC3D02" ],
[ "\033[1X\033[33X\033[0;-2YGraphs of Groups\033[133X\033[101X", "7.2",
[ 7, 2, 0 ], 65, 62, "graphs of groups", "X7BAFCA3680E478AE" ],
[
"\033[1X\033[33X\033[0;-2YWords in a Graph of Groups and their normal forms\
\033[133X\033[101X", "7.3", [ 7, 3, 0 ], 187, 64,
"words in a graph of groups and their normal forms",
"X7BD9DCF87FB3E0AF" ],
[
"\033[1X\033[33X\033[0;-2YFree products with amalgamation and HNN extension\
s\033[133X\033[101X", "7.4", [ 7, 4, 0 ], 273, 65,
"free products with amalgamation and hnn extensions",
"X7D99A7B37B36BAA8" ],
[
"\033[1X\033[33X\033[0;-2YGraphsOfGroupoids and their Words\033[133X\033[10\
1X", "7.5", [ 7, 5, 0 ], 444, 68, "graphsofgroupoids and their words",
"X78108FB4814AE887" ],
[ "\033[1X\033[33X\033[0;-2YDouble Groupoids\033[133X\033[101X", "8",
[ 8, 0, 0 ], 1, 72, "double groupoids", "X83B7E8A287C9284A" ],
[ "\033[1X\033[33X\033[0;-2YSingle piece double groupoids\033[133X\033[101X"
, "8.1", [ 8, 1, 0 ], 23, 72, "single piece double groupoids",
"X780DA94780938851" ],
[
"\033[1X\033[33X\033[0;-2YHorizontal and vertical groupoids in \033[22X\\
342\226\241(G)\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "8.1-8",
[ 8, 1, 8 ], 466, 80, "horizontal and vertical groupoids in a\226\241 g"
, "X7B8DEF5A7B5AEC46" ],
[
"\033[1X\033[33X\033[0;-2YDouble groupoids with more than one piece\033[133\
X\033[101X", "8.2", [ 8, 2, 0 ], 489, 81,
"double groupoids with more than one piece", "X7F319AA17ED13024" ],
[
"\033[1X\033[33X\033[0;-2YGenerators of a double groupoid\033[133X\033[101X\
", "8.3", [ 8, 3, 0 ], 535, 82, "generators of a double groupoid",
"X78E24657817C4D30" ],
[
"\033[1X\033[33X\033[0;-2YWhat is the double groupoid generated by a set of\
squares?\033[133X\033[101X", "8.3-3", [ 8, 3, 3 ], 591, 83,
"what is the double groupoid generated by a set of squares?",
"X85A6C1A685357E66" ],
[ "\033[1X\033[33X\033[0;-2YStarting with two groupoids\033[133X\033[101X",
"8.4", [ 8, 4, 0 ], 616, 83, "starting with two groupoids",
"X80E0318F78D2AD28" ],
[ "\033[1X\033[33X\033[0;-2YDouble groupoid homomorphisms\033[133X\033[101X"
, "8.5", [ 8, 5, 0 ], 666, 84, "double groupoid homomorphisms",
"X83F6AFC185148621" ],
[ "\033[1X\033[33X\033[0;-2YTechnical Notes\033[133X\033[101X", "9",
[ 9, 0, 0 ], 1, 86, "technical notes", "X7F2BA6DC7AD84FBC" ],
[ "\033[1X\033[33X\033[0;-2YMany object structures\033[133X\033[101X",
"9.1", [ 9, 1, 0 ], 9, 86, "many object structures",
"X7C5B725A7AED3C8D" ],
[ "\033[1X\033[33X\033[0;-2YMany object homomorphisms\033[133X\033[101X",
"9.2", [ 9, 2, 0 ], 104, 88, "many object homomorphisms",
"X7A4760E887C9C968" ],
[ "\033[1X\033[33X\033[0;-2YDevelopment History\033[133X\033[101X", "10",
[ 10, 0, 0 ], 1, 89, "development history", "X810C43BC7F63C4B4" ],
[ "\033[1X\033[33X\033[0;-2YVersions of the Package\033[133X\033[101X",
"10.1", [ 10, 1, 0 ], 4, 89, "versions of the package",
"X8192EA4C7B7CC5CD" ],
[ "\033[1X\033[33X\033[0;-2YWhat needs to be done next?\033[133X\033[101X",
"10.2", [ 10, 2, 0 ], 67, 90, "what needs to be done next?",
"X82148FB77CC3CCC0" ],
[ "Bibliography", "bib", [ "Bib", 0, 0 ], 1, 91, "bibliography",
"X7A6F98FD85F02BFE" ],
[ "References", "bib", [ "Bib", 0, 0 ], 1, 91, "references",
"X7A6F98FD85F02BFE" ],
[ "Index", "ind", [ "Ind", 0, 0 ], 1, 92, "index", "X83A0356F839C696F" ],
[ "\033[2XMagmaWithObjects\033[102X", "2.1-1", [ 2, 1, 1 ], 40, 6,
"magmawithobjects", "X7C51D7847BD23284" ],
[ "\033[2XSinglePieceMagmaWithObjects\033[102X", "2.1-1", [ 2, 1, 1 ], 40,
6, "singlepiecemagmawithobjects", "X7C51D7847BD23284" ],
[ "\033[2XObjectList\033[102X for magmas with objects", "2.1-1",
[ 2, 1, 1 ], 40, 6, "objectlist for magmas with objects",
"X7C51D7847BD23284" ],
[ "\033[2XRootObject\033[102X for magmas with objects", "2.1-1",
[ 2, 1, 1 ], 40, 6, "rootobject for magmas with objects",
"X7C51D7847BD23284" ],
[ "\033[2XIsDomainWithObjects\033[102X", "2.1-2", [ 2, 1, 2 ], 87, 7,
"isdomainwithobjects", "X87D1C0BC86749E6D" ],
[ "\033[2XIsMagmaWithObjects\033[102X", "2.1-2", [ 2, 1, 2 ], 87, 7,
"ismagmawithobjects", "X87D1C0BC86749E6D" ],
[ "\033[2XArrow\033[102X", "2.1-3", [ 2, 1, 3 ], 104, 7, "arrow",
"X86247DFC8242CEBE" ],
[ "\033[2XElementOfArrow\033[102X for magmas with objects", "2.1-3",
[ 2, 1, 3 ], 104, 7, "elementofarrow for magmas with objects",
"X86247DFC8242CEBE" ],
[ "\033[2XTailOfArrow\033[102X for magmas with objects", "2.1-3",
[ 2, 1, 3 ], 104, 7, "tailofarrow for magmas with objects",
"X86247DFC8242CEBE" ],
[ "\033[2XHeadOfArrow\033[102X for magmas with objects", "2.1-3",
[ 2, 1, 3 ], 104, 7, "headofarrow for magmas with objects",
"X86247DFC8242CEBE" ],
[ "\033[10XIsMultiplicativeElementWithObjects\033[110X", "2.1-3",
[ 2, 1, 3 ], 104, 7, "ismultiplicativeelementwithobjects",
"X86247DFC8242CEBE" ],
[ "\033[2XIsSinglePieceDomain\033[102X", "2.1-4", [ 2, 1, 4 ], 139, 8,
"issinglepiecedomain", "X7B3352148103FD05" ],
[ "\033[2XIsSinglePiece\033[102X", "2.1-4", [ 2, 1, 4 ], 139, 8,
"issinglepiece", "X7B3352148103FD05" ],
[ "\033[2XIsDirectProductWithCompleteDigraph\033[102X", "2.1-4",
[ 2, 1, 4 ], 139, 8, "isdirectproductwithcompletedigraph",
"X7B3352148103FD05" ],
[ "\033[2XIsDiscreteMagmaWithObjects\033[102X", "2.1-4", [ 2, 1, 4 ], 139,
8, "isdiscretemagmawithobjects", "X7B3352148103FD05" ],
[ "\033[2XSemigroupWithObjects\033[102X", "2.2-1", [ 2, 2, 1 ], 171, 9,
"semigroupwithobjects", "X8519787D833653A7" ],
[ "\033[2XSinglePieceSemigroupWithObjects\033[102X", "2.2-1", [ 2, 2, 1 ],
171, 9, "singlepiecesemigroupwithobjects", "X8519787D833653A7" ],
[ "\033[2XMagmaWithSingleObject\033[102X for semigroups", "2.2-1",
[ 2, 2, 1 ], 171, 9, "magmawithsingleobject for semigroups",
"X8519787D833653A7" ],
[ "\033[2XIsSemigroupWithObjects\033[102X", "2.2-1", [ 2, 2, 1 ], 171, 9,
"issemigroupwithobjects", "X8519787D833653A7" ],
[ "\033[2XMonoidWithObjects\033[102X", "2.3-1", [ 2, 3, 1 ], 233, 10,
"monoidwithobjects", "X7A271B1A7F2FF245" ],
[ "\033[2XSinglePieceMonoidWithObjects\033[102X", "2.3-1", [ 2, 3, 1 ],
233, 10, "singlepiecemonoidwithobjects", "X7A271B1A7F2FF245" ],
[ "\033[2XIsMonoidWithObjects\033[102X", "2.3-1", [ 2, 3, 1 ], 233, 10,
"ismonoidwithobjects", "X7A271B1A7F2FF245" ],
[ "\033[2XGeneratorsOfMagmaWithObjects\033[102X", "2.4-1", [ 2, 4, 1 ],
272, 11, "generatorsofmagmawithobjects", "X83239B307EE95054" ],
[ "\033[2XGeneratorsOfSemigroupWithObjects\033[102X", "2.4-1", [ 2, 4, 1 ],
272, 11, "generatorsofsemigroupwithobjects", "X83239B307EE95054" ],
[ "\033[2XGeneratorsOfMonoidWithObjects\033[102X", "2.4-1", [ 2, 4, 1 ],
272, 11, "generatorsofmonoidwithobjects", "X83239B307EE95054" ],
[ "\033[2XUnionOfPieces\033[102X for magmas with objects", "2.5-1",
[ 2, 5, 1 ], 317, 11, "unionofpieces for magmas with objects",
"X781FB06382E08115" ],
[ "\033[2XPieces\033[102X for magmas with objects", "2.5-1", [ 2, 5, 1 ],
317, 11, "pieces for magmas with objects", "X781FB06382E08115" ],
[ "\033[2XPieceOfObject\033[102X", "2.5-1", [ 2, 5, 1 ], 317, 11,
"pieceofobject", "X781FB06382E08115" ],
[ "\033[2XMagmaWithObjectsHomomorphism\033[102X", "3.1-1", [ 3, 1, 1 ], 27,
13, "magmawithobjectshomomorphism", "X86E00FEA7FF38FEA" ],
[ "\033[2XHomomorphismFromSinglePiece\033[102X", "3.1-1", [ 3, 1, 1 ], 27,
13, "homomorphismfromsinglepiece", "X86E00FEA7FF38FEA" ],
[ "\033[2XHomomorphismToSinglePiece\033[102X for magmas with objects",
"3.1-1", [ 3, 1, 1 ], 27, 13,
"homomorphismtosinglepiece for magmas with objects",
"X86E00FEA7FF38FEA" ],
[ "\033[2XMappingToSinglePieceData\033[102X for magmas with objects",
"3.1-1", [ 3, 1, 1 ], 27, 13,
"mappingtosinglepiecedata for magmas with objects", "X86E00FEA7FF38FEA"
], [ "\033[2XPiecesOfMapping\033[102X", "3.1-1", [ 3, 1, 1 ], 27, 13,
"piecesofmapping", "X86E00FEA7FF38FEA" ],
[ "\033[2XIsomorphismNewObjects\033[102X for magmas with objects", "3.1-1",
[ 3, 1, 1 ], 27, 13, "isomorphismnewobjects for magmas with objects",
"X86E00FEA7FF38FEA" ],
[ "\033[10XIsMappingToSinglePieceRep\033[110X", "3.1-1", [ 3, 1, 1 ], 27,
13, "ismappingtosinglepiecerep", "X86E00FEA7FF38FEA" ],
[ "\033[10XSource\033[110X", "3.1-1", [ 3, 1, 1 ], 27, 13, "source",
"X86E00FEA7FF38FEA" ],
[ "\033[10XRange\033[110X", "3.1-1", [ 3, 1, 1 ], 27, 13, "range",
"X86E00FEA7FF38FEA" ],
[ "\033[2XHomomorphismByUnion\033[102X for magmas with objects", "3.3-1",
[ 3, 3, 1 ], 160, 16, "homomorphismbyunion for magmas with objects",
"X7AE44D9485EB50F1" ],
[ "\033[2XIsInjectiveOnObjects\033[102X", "3.3-2", [ 3, 3, 2 ], 185, 16,
"isinjectiveonobjects", "X7C053B0379DDCE13" ],
[ "\033[2XIsSurjectiveOnObjects\033[102X", "3.3-2", [ 3, 3, 2 ], 185, 16,
"issurjectiveonobjects", "X7C053B0379DDCE13" ],
[ "\033[2XIsBijectiveOnObjects\033[102X", "3.3-2", [ 3, 3, 2 ], 185, 16,
"isbijectiveonobjects", "X7C053B0379DDCE13" ],
[ "\033[2XIsEndomorphismWithObjects\033[102X", "3.3-2", [ 3, 3, 2 ], 185,
16, "isendomorphismwithobjects", "X7C053B0379DDCE13" ],
[ "\033[2XIsAutomorphismWithObjects\033[102X", "3.3-2", [ 3, 3, 2 ], 185,
16, "isautomorphismwithobjects", "X7C053B0379DDCE13" ],
[ "\033[2XMappingWithObjectsByFunction\033[102X", "3.4-1", [ 3, 4, 1 ],
213, 17, "mappingwithobjectsbyfunction", "X81B64F9A855D265F" ],
[ "\033[2XIsMappingWithObjectsByFunction\033[102X", "3.4-1", [ 3, 4, 1 ],
213, 17, "ismappingwithobjectsbyfunction", "X81B64F9A855D265F" ],
[ "\033[2XUnderlyingFunction\033[102X", "3.4-1", [ 3, 4, 1 ], 213, 17,
"underlyingfunction", "X81B64F9A855D265F" ],
[ "", "4.0", [ 4, 0, 0 ], 1, 18, "", "X82F6A1AB798648F4" ],
[ "\033[2XSinglePieceGroupoid\033[102X", "4.1-1", [ 4, 1, 1 ], 44, 18,
"singlepiecegroupoid", "X8406913B7ED86CFE" ],
[ "\033[2XGroupoid\033[102X", "4.1-1", [ 4, 1, 1 ], 44, 18, "groupoid",
"X8406913B7ED86CFE" ],
[ "\033[2XMagmaWithSingleObject\033[102X for groups", "4.1-1", [ 4, 1, 1 ],
44, 18, "magmawithsingleobject for groups", "X8406913B7ED86CFE" ],
[ "\033[2XIsGroupoid\033[102X", "4.1-1", [ 4, 1, 1 ], 44, 18, "isgroupoid",
"X8406913B7ED86CFE" ],
[ "standard groupoid", "4.1-1", [ 4, 1, 1 ], 44, 18, "standard groupoid",
"X8406913B7ED86CFE" ],
[ "\033[2XObjectList\033[102X for groupoids", "4.1-2", [ 4, 1, 2 ], 99, 19,
"objectlist for groupoids", "X813B084184AAA890" ],
[ "\033[2XRootObject\033[102X for groupoids", "4.1-2", [ 4, 1, 2 ], 99, 19,
"rootobject for groupoids", "X813B084184AAA890" ],
[ "\033[2XRootGroup\033[102X", "4.1-2", [ 4, 1, 2 ], 99, 19, "rootgroup",
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