GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
################################################################################ ## ## simpcomp / morse.gd ## ## Polyhedral Morse functions ## ## $Id$ ## ################################################################################ ## <#GAPDoc Label="morse"> ## ## 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/> ## ## 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/> ## ## <Section Label="sec:morsefunc"> ## <Heading>Polyhedral Morse theory related functions</Heading> ## ## <#Include Label="SCIsTight"/> ## <#Include Label="SCMorseIsPerfect"/> ## <#Include Label="SCSlicing"/> ## <#Include Label="SCMorseMultiplicityVector"/> ## <#Include Label="SCMorseNumberOfCriticalPoints"/> ## ## </Section> ## ## ## <!-- ## <Section> ## <Heading></Heading> ## </Section> ## --> ## ## <#/GAPDoc>