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## simpcomp / morse.gd
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## Polyhedral Morse functions
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## $Id$
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## <#GAPDoc Label="morse">
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## In this chapter we present some useful functions dealing with polyhedral Morse theory. See Section <Ref Chap="sec:MorseTheory" /> for a very short introduction to the field, see <Cite Key="Kuehnel95TightPolySubm" /> for more information. Note: this is not to be confused with Robin Forman's discrete Morse theory for cell complexes which is described in Chapter <Ref Chap="chap:DMT"/>.<P/>
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## If <M>M</M> is a combinatorial <M>d</M>-manifold with <M>n</M>-vertices a rsl-function will be represented as an ordering on the set of vertices, i. e. a list of length <M>n</M> containing all vertex labels of the corresponding simplicial complex.<P/>
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## <Section Label="sec:morsefunc">
## <Heading>Polyhedral Morse theory related functions</Heading>
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## <#Include Label="SCIsTight"/>
## <#Include Label="SCMorseIsPerfect"/>
## <#Include Label="SCSlicing"/>
## <#Include Label="SCMorseMultiplicityVector"/>
## <#Include Label="SCMorseNumberOfCriticalPoints"/>
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## </Section>
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## <!--
## <Section>
## <Heading></Heading>
## </Section>
## -->
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## <#/GAPDoc>
DeclareAttribute("SCIsTight",SCIsPolyhedralComplex);
DeclareGlobalFunction("SCMorseIsPerfect");
DeclareGlobalFunction("SCSlicing");
DeclareGlobalFunction("SCMorseMultiplicityVector");
DeclareGlobalFunction("SCMorseNumberOfCriticalPoints");
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