Quelle TerminalCategoryWithSingleObject.g Sprache: unbekannt

#! @Chapter Examples and Tests

#! @Section Terminal category

#! @Example
LoadPackage( "CAP", false );
#! true
T := TerminalCategoryWithSingleObject( );
#! TerminalCategoryWithSingleObject( )
i := InitialObject( T );
#! <A zero object in TerminalCategoryWithSingleObject( )>
t := TerminalObject( T );
#! <A zero object in TerminalCategoryWithSingleObject( )>
z := ZeroObject( T );
#! <A zero object in TerminalCategoryWithSingleObject( )>
Display( i );
#! A zero object in TerminalCategoryWithSingleObject( ).
Display( t );
#! A zero object in TerminalCategoryWithSingleObject( ).
Display( z );
#! A zero object in TerminalCategoryWithSingleObject( ).
IsIdenticalObj( i, z );
#! false
IsIdenticalObj( t, z );
#! false
IsWellDefined( z );
#! true
Length( SetOfObjectsOfCategory( T ) );
#! 1
id_z := IdentityMorphism( z );
#! <A zero, identity morphism in TerminalCategoryWithSingleObject( )>
fn_z := ZeroObjectFunctorial( T );
#! <A zero, identity morphism in TerminalCategoryWithSingleObject( )>
IsWellDefined( fn_z );
#! true
IsEqualForMorphisms( id_z, fn_z );
#! true
IsCongruentForMorphisms( id_z, fn_z );
#! true
Length( SetOfMorphismsOfFiniteCategory( T ) );
#! 1
IsLiftable( id_z, fn_z );
#! true
Lift( id_z, fn_z );
#! <A zero, identity morphism in TerminalCategoryWithSingleObject( )>
IsColiftable( id_z, fn_z );
#! true
Colift( id_z, fn_z );
#! <A zero, identity morphism in TerminalCategoryWithSingleObject( )>
DirectProduct( T, [ ] );
#! <A zero object in TerminalCategoryWithSingleObject( )>
Equalizer( T, z, [ ] );
#! <A zero object in TerminalCategoryWithSingleObject( )>
Coproduct( T, [ ] );
#! <A zero object in TerminalCategoryWithSingleObject( )>
Coequalizer( T, z, [ ] );
#! <A zero object in TerminalCategoryWithSingleObject( )>
#! @EndExample

Quelle TerminalCategoryWithSingleObject.g Sprache: unbekannt

[ Dauer der Verarbeitung: 0.27 Sekunden (vorverarbeitet) ]