<?xml version="1.0" encoding="UTF-8"?>

<!-- 

  Complexes.xml            homalg package documentation            Mohamed Barakat

         Copyright (C) 2007-2009, Mohamed Barakat, RWTH-Aachen

-->

<Chapter Label="Complexes">
<Heading>Complexes</Heading>

<Section Label="Complexes:Category">
<Heading>Complexes: Category and Representations</Heading>

<#Include Label="IsHomalgComplex">

<#Include Label="IsComplexOfFinitelyPresentedObjectsRep">
<#Include Label="IsCocomplexOfFinitelyPresentedObjectsRep">

</Section>

<Section Label="Complexes:Constructors">
<Heading>Complexes: Constructors</Heading>

<#Include Label="HomalgComplex">
<#Include Label="HomalgCocomplex">

</Section>

<Section Label="Complexes:Properties">
<Heading>Complexes: Properties</Heading>

<#Include Label="IsSequence">
<#Include Label="IsComplex">
<#Include Label="IsAcyclic">
<#Include Label="IsRightAcyclic">
<#Include Label="IsLeftAcyclic">
<#Include Label="IsGradedObject">
<#Include Label="IsExactSequence">
<#Include Label="IsShortExactSequence">
<#Include Label="IsSplitShortExactSequence">
<#Include Label="IsTriangle">
<#Include Label="IsExactTriangle">

</Section>

<Section Label="Complexes:Attributes">
<Heading>Complexes: Attributes</Heading>

<#Include Label="BettiTable:complex">
<#Include Label="FiltrationByShortExactSequence">

</Section>

<Section Label="Complexes:Operations">
<Heading>Complexes: Operations and Functions</Heading>

<#Include Label="Add:complex">
<#Include Label="ByASmallerPresentation:complex">

</Section>

<!-- ############################################################ -->

</Chapter>