\BOOKMARK [0][-]{chapter.1}{Introduction}{}
\BOOKMARK [1][-]{section.1.1}{What is new}{chapter.1}
\BOOKMARK [1][-]{section.1.2}{simpcomp benefits}{chapter.1}
\BOOKMARK [1][-]{section.1.3}{How to save time reading this document}{chapter.1}
\BOOKMARK [1][-]{section.1.4}{Organization of this document}{chapter.1}
\BOOKMARK [1][-]{section.1.5}{How to assure simpcomp works correctly}{chapter.1}
\BOOKMARK [1][-]{section.1.6}{Controlling simpcomp log messages}{chapter.1}
\BOOKMARK [1][-]{section.1.7}{How to cite simpcomp}{chapter.1}
\BOOKMARK [0][-]{chapter.2}{Theoretical foundations}{}
\BOOKMARK [1][-]{section.2.1}{Polytopes and polytopal complexes}{chapter.2}
\BOOKMARK [1][-]{section.2.2}{Simplices and simplicial complexes}{chapter.2}
\BOOKMARK [1][-]{section.2.3}{From geometry to combinatorics}{chapter.2}
\BOOKMARK [1][-]{section.2.4}{Discrete Normal surfaces}{chapter.2}
\BOOKMARK [1][-]{section.2.5}{Polyhedral Morse theory and slicings}{chapter.2}
\BOOKMARK [1][-]{section.2.6}{Tightness and tight triangulations}{chapter.2}
\BOOKMARK [1][-]{section.2.7}{Simplicial blowups}{chapter.2}
\BOOKMARK [0][-]{chapter.3}{The new GAP object types of simpcomp}{}
\BOOKMARK [1][-]{section.3.1}{Accessing properties of a SCPolyhedralComplex object}{chapter.3}
\BOOKMARK [0][-]{chapter.4}{Functions and operations for the GAP object type SCPolyhedralComplex}{}
\BOOKMARK [1][-]{section.4.1}{Computing properties of objects of type SCPolyhedralComplex}{chapter.4}
\BOOKMARK [1][-]{section.4.2}{Vertex labelings and label operations}{chapter.4}
\BOOKMARK [1][-]{section.4.3}{Operations on objects of type SCPolyhedralComplex}{chapter.4}
\BOOKMARK [0][-]{chapter.5}{The GAP object types SCSimplicialComplex and SCNormalSurface}{}
\BOOKMARK [1][-]{section.5.1}{The object type SCSimplicialComplex}{chapter.5}
\BOOKMARK [1][-]{section.5.2}{Overloaded operators of SCSimplicialComplex}{chapter.5}
\BOOKMARK [1][-]{section.5.3}{SCSimplicialComplex as a subtype of Set}{chapter.5}
\BOOKMARK [1][-]{section.5.4}{The object type SCNormalSurface}{chapter.5}
\BOOKMARK [1][-]{section.5.5}{Overloaded operators of SCNormalSurface}{chapter.5}
\BOOKMARK [1][-]{section.5.6}{SCNormalSurface as a subtype of Set}{chapter.5}
\BOOKMARK [0][-]{chapter.6}{Functions and operations for SCSimplicialComplex}{}
\BOOKMARK [1][-]{section.6.1}{Creating an SCSimplicialComplex object from a facet list}{chapter.6}
\BOOKMARK [1][-]{section.6.2}{Isomorphism signatures}{chapter.6}
\BOOKMARK [1][-]{section.6.3}{Generating some standard triangulations}{chapter.6}
\BOOKMARK [1][-]{section.6.4}{Generating infinite series of transitive triangulations}{chapter.6}
\BOOKMARK [1][-]{section.6.5}{A census of regular and chiral maps}{chapter.6}
\BOOKMARK [1][-]{section.6.6}{Generating new complexes from old}{chapter.6}
\BOOKMARK [1][-]{section.6.7}{Simplicial complexes from transitive permutation groups}{chapter.6}
\BOOKMARK [1][-]{section.6.8}{The classification of cyclic combinatorial 3-manifolds}{chapter.6}
\BOOKMARK [1][-]{section.6.9}{Computing properties of simplicial complexes}{chapter.6}
\BOOKMARK [1][-]{section.6.10}{Operations on simplicial complexes}{chapter.6}
\BOOKMARK [0][-]{chapter.7}{Functions and operations for SCNormalSurface}{}
\BOOKMARK [1][-]{section.7.1}{Creating an SCNormalSurface object}{chapter.7}
\BOOKMARK [1][-]{section.7.2}{Generating new objects from discrete normal surfaces}{chapter.7}
\BOOKMARK [1][-]{section.7.3}{Properties of SCNormalSurface objects}{chapter.7}
\BOOKMARK [0][-]{chapter.8}{\(Co-\)Homology of simplicial complexes}{}
\BOOKMARK [1][-]{section.8.1}{Homology computation}{chapter.8}
\BOOKMARK [1][-]{section.8.2}{Cohomology computation}{chapter.8}
\BOOKMARK [0][-]{chapter.9}{Bistellar flips}{}
\BOOKMARK [1][-]{section.9.1}{Theory}{chapter.9}
\BOOKMARK [1][-]{section.9.2}{Functions for bistellar flips}{chapter.9}
\BOOKMARK [0][-]{chapter.10}{Simplicial blowups}{}
\BOOKMARK [1][-]{section.10.1}{Theory}{chapter.10}
\BOOKMARK [1][-]{section.10.2}{Functions related to simplicial blowups}{chapter.10}
\BOOKMARK [0][-]{chapter.11}{Polyhedral Morse theory}{}
\BOOKMARK [1][-]{section.11.1}{Polyhedral Morse theory related functions}{chapter.11}
\BOOKMARK [0][-]{chapter.12}{Library and I/O}{}
\BOOKMARK [1][-]{section.12.1}{Simplicial complex library}{chapter.12}
\BOOKMARK [1][-]{section.12.2}{simpcomp input / output functions}{chapter.12}
\BOOKMARK [0][-]{chapter.13}{Interfaces to other software packages}{}
\BOOKMARK [1][-]{section.13.1}{Interface to the GAP-package homalg}{chapter.13}
\BOOKMARK [0][-]{chapter.14}{Miscellaneous functions}{}
\BOOKMARK [1][-]{section.14.1}{simpcomp logging}{chapter.14}
\BOOKMARK [1][-]{section.14.2}{Email notification system}{chapter.14}
\BOOKMARK [1][-]{section.14.3}{Testing the functionality of simpcomp}{chapter.14}
\BOOKMARK [0][-]{chapter.15}{Property handlers}{}
\BOOKMARK [1][-]{section.15.1}{Property handlers of SCPolyhedralComplex}{chapter.15}
\BOOKMARK [1][-]{section.15.2}{Property handlers of SCSimplicialComplex}{chapter.15}
\BOOKMARK [1][-]{section.15.3}{Property handlers of SCNormalSurface}{chapter.15}
\BOOKMARK [1][-]{section.15.4}{Property handlers of SCLibRepository}{chapter.15}
\BOOKMARK [0][-]{chapter.16}{A demo session with simpcomp}{}
\BOOKMARK [1][-]{section.16.1}{Creating a SCSimplicialComplex object}{chapter.16}
\BOOKMARK [1][-]{section.16.2}{Working with a SCSimplicialComplex object}{chapter.16}
\BOOKMARK [1][-]{section.16.3}{Calculating properties of a SCSimplicialComplex object}{chapter.16}
\BOOKMARK [1][-]{section.16.4}{Creating new complexes from a SCSimplicialComplex object}{chapter.16}
\BOOKMARK [1][-]{section.16.5}{Homology related calculations}{chapter.16}
\BOOKMARK [1][-]{section.16.6}{Bistellar flips}{chapter.16}
\BOOKMARK [1][-]{section.16.7}{Simplicial blowups}{chapter.16}
\BOOKMARK [1][-]{section.16.8}{Discrete normal surfaces and slicings}{chapter.16}
\BOOKMARK [0][-]{chapter.17}{simpcomp internals}{}
\BOOKMARK [1][-]{section.17.1}{The GAP object type SCPropertyObject}{chapter.17}
\BOOKMARK [1][-]{section.17.2}{Example of a common attribute}{chapter.17}
\BOOKMARK [1][-]{section.17.3}{Writing a method for an attribute}{chapter.17}
\BOOKMARK [0][-]{chapter*.5}{References}{}
\BOOKMARK [0][-]{section*.6}{Index}{}
