\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.1.1}{What is the role of the homalg package in the homalg project?}{chapter.1}% 2
\BOOKMARK [1][-]{section.1.2}{This manual}{chapter.1}% 3
\BOOKMARK [0][-]{chapter.2}{Installation of the homalg Package}{}% 4
\BOOKMARK [0][-]{chapter.3}{Objects}{}% 5
\BOOKMARK [1][-]{section.3.1}{Objects: Category and Representations}{chapter.3}% 6
\BOOKMARK [1][-]{section.3.2}{Objects: Constructors}{chapter.3}% 7
\BOOKMARK [1][-]{section.3.3}{Objects: Properties}{chapter.3}% 8
\BOOKMARK [1][-]{section.3.4}{Objects: Attributes}{chapter.3}% 9
\BOOKMARK [1][-]{section.3.5}{Objects: Operations and Functions}{chapter.3}% 10
\BOOKMARK [0][-]{chapter.4}{Morphisms}{}% 11
\BOOKMARK [1][-]{section.4.1}{Morphisms: Categories and Representations}{chapter.4}% 12
\BOOKMARK [1][-]{section.4.2}{Morphisms: Constructors}{chapter.4}% 13
\BOOKMARK [1][-]{section.4.3}{Morphisms: Properties}{chapter.4}% 14
\BOOKMARK [1][-]{section.4.4}{Morphisms: Attributes}{chapter.4}% 15
\BOOKMARK [1][-]{section.4.5}{Morphisms: Operations and Functions}{chapter.4}% 16
\BOOKMARK [0][-]{chapter.5}{Elements}{}% 17
\BOOKMARK [1][-]{section.5.1}{Elements: Category and Representations}{chapter.5}% 18
\BOOKMARK [1][-]{section.5.2}{Elements: Constructors}{chapter.5}% 19
\BOOKMARK [1][-]{section.5.3}{Elements: Properties}{chapter.5}% 20
\BOOKMARK [1][-]{section.5.4}{Elements: Attributes}{chapter.5}% 21
\BOOKMARK [1][-]{section.5.5}{Elements: Operations and Functions}{chapter.5}% 22
\BOOKMARK [0][-]{chapter.6}{Complexes}{}% 23
\BOOKMARK [1][-]{section.6.1}{Complexes: Category and Representations}{chapter.6}% 24
\BOOKMARK [1][-]{section.6.2}{Complexes: Constructors}{chapter.6}% 25
\BOOKMARK [1][-]{section.6.3}{Complexes: Properties}{chapter.6}% 26
\BOOKMARK [1][-]{section.6.4}{Complexes: Attributes}{chapter.6}% 27
\BOOKMARK [1][-]{section.6.5}{Complexes: Operations and Functions}{chapter.6}% 28
\BOOKMARK [0][-]{chapter.7}{Chain Morphisms}{}% 29
\BOOKMARK [1][-]{section.7.1}{ChainMorphisms: Categories and Representations}{chapter.7}% 30
\BOOKMARK [1][-]{section.7.2}{Chain Morphisms: Constructors}{chapter.7}% 31
\BOOKMARK [1][-]{section.7.3}{Chain Morphisms: Properties}{chapter.7}% 32
\BOOKMARK [1][-]{section.7.4}{Chain Morphisms: Attributes}{chapter.7}% 33
\BOOKMARK [1][-]{section.7.5}{Chain Morphisms: Operations and Functions}{chapter.7}% 34
\BOOKMARK [0][-]{chapter.8}{Bicomplexes}{}% 35
\BOOKMARK [1][-]{section.8.1}{Bicomplexes: Category and Representations}{chapter.8}% 36
\BOOKMARK [1][-]{section.8.2}{Bicomplexes: Constructors}{chapter.8}% 37
\BOOKMARK [1][-]{section.8.3}{Bicomplexes: Properties}{chapter.8}% 38
\BOOKMARK [1][-]{section.8.4}{Bicomplexes: Attributes}{chapter.8}% 39
\BOOKMARK [1][-]{section.8.5}{Bicomplexes: Operations and Functions}{chapter.8}% 40
\BOOKMARK [0][-]{chapter.9}{Bigraded Objects}{}% 41
\BOOKMARK [1][-]{section.9.1}{BigradedObjects: Categories and Representations}{chapter.9}% 42
\BOOKMARK [1][-]{section.9.2}{Bigraded Objects: Constructors}{chapter.9}% 43
\BOOKMARK [1][-]{section.9.3}{Bigraded Objects: Properties}{chapter.9}% 44
\BOOKMARK [1][-]{section.9.4}{Bigraded Objects: Operations and Functions}{chapter.9}% 45
\BOOKMARK [0][-]{chapter.10}{Spectral Sequences}{}% 46
\BOOKMARK [1][-]{section.10.1}{SpectralSequences: Categorie and Representations}{chapter.10}% 47
\BOOKMARK [1][-]{section.10.2}{Spectral Sequences: Constructors}{chapter.10}% 48
\BOOKMARK [1][-]{section.10.3}{Spectral Sequences: Attributes}{chapter.10}% 49
\BOOKMARK [1][-]{section.10.4}{Spectral Sequences: Operations and Functions}{chapter.10}% 50
\BOOKMARK [0][-]{chapter.11}{Functors}{}% 51
\BOOKMARK [1][-]{section.11.1}{Functors: Category and Representations}{chapter.11}% 52
\BOOKMARK [1][-]{section.11.2}{Functors: Constructors}{chapter.11}% 53
\BOOKMARK [1][-]{section.11.3}{Functors: Attributes}{chapter.11}% 54
\BOOKMARK [1][-]{section.11.4}{Basic Functors}{chapter.11}% 55
\BOOKMARK [1][-]{section.11.5}{Tool Functors}{chapter.11}% 56
\BOOKMARK [1][-]{section.11.6}{Other Functors}{chapter.11}% 57
\BOOKMARK [1][-]{section.11.7}{Functors: Operations and Functions}{chapter.11}% 58
\BOOKMARK [0][-]{chapter.12}{Examples}{}% 59
\BOOKMARK [1][-]{section.12.1}{ExtExt}{chapter.12}% 60
\BOOKMARK [1][-]{section.12.2}{Purity}{chapter.12}% 61
\BOOKMARK [1][-]{section.12.3}{TorExt-Grothendieck}{chapter.12}% 62
\BOOKMARK [1][-]{section.12.4}{TorExt}{chapter.12}% 63
\BOOKMARK [0][-]{appendix.A}{The Mathematical Idea behind homalg}{}% 64
\BOOKMARK [0][-]{appendix.B}{Development}{}% 65
\BOOKMARK [1][-]{section.B.1}{Why was homalg discontinued in Maple?}{appendix.B}% 66
\BOOKMARK [1][-]{section.B.2}{Why GAP4?}{appendix.B}% 67
\BOOKMARK [1][-]{section.B.3}{Why not Sage?}{appendix.B}% 68
\BOOKMARK [1][-]{section.B.4}{How does homalg compare to Sage?}{appendix.B}% 69
\BOOKMARK [0][-]{appendix.C}{Logic Subpackages}{}% 70
\BOOKMARK [1][-]{section.C.1}{LIOBJ: Logical Implications for Objects of Abelian Categories}{appendix.C}% 71
\BOOKMARK [1][-]{section.C.2}{LIMOR: Logical Implications for Morphisms of Abelian Categories}{appendix.C}% 72
\BOOKMARK [1][-]{section.C.3}{LICPX: Logical Implications for Complexes in Abelian Categories}{appendix.C}% 73
\BOOKMARK [0][-]{appendix.D}{Debugging homalg}{}% 74
\BOOKMARK [1][-]{section.D.1}{Increase the assertion level}{appendix.D}% 75
\BOOKMARK [0][-]{appendix.E}{The Core Packages and the Idea behind their Splitting}{}% 76
\BOOKMARK [1][-]{section.E.1}{The 6=2+4 split}{appendix.E}% 77
\BOOKMARK [1][-]{section.E.2}{The 4=1+1+1+1 split}{appendix.E}% 78
\BOOKMARK [0][-]{appendix.F}{Overview of the homalg Package Source Code}{}% 79
\BOOKMARK [1][-]{section.F.1}{The Basic Objects}{appendix.F}% 80
\BOOKMARK [1][-]{section.F.2}{The High Level Homological Algorithms}{appendix.F}% 81
\BOOKMARK [1][-]{section.F.3}{Logical Implications for homalg Objects}{appendix.F}% 82
\BOOKMARK [0][-]{appendix*.4}{References}{}% 83
\BOOKMARK [0][-]{section*.5}{Index}{}% 84
