eBook Homological Algebra: In Strongly Non-Abelian Settings, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814425923
  • ISBN-13: 9789814425926
  • DDC: 512.55
  • Grade Level Range: College Freshman - College Senior
  • 356 Pages | eBook
  • Original Copyright 2013 | Published/Released December 2014
  • This publication's content originally published in print form: 2013
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About

Overview

We propose here a study of semiexact homological categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on;Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups is published by the same Editor, but can be read independently of the latter.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Dedication.
Preface.
Contents.
1: Introduction.
2: Semiexact Categories.
3: Homological Categories.
4: Subquotients, Homology and Exact Couples.
5: Satellites.
6: Universal Constructions.
7: Applications to Algebraic Topology.
8: Homological Theories and Biuniversal Models.
Appendix A: Some Points of Category Theory.
References.
Index.