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Homological algebra : in strongly non-Abelian settings / Marco Grandis.

By: Material type: TextTextPublication details: Singapore : World Scientific, c2013.Description: xi, 343 p. : illustrations ; 24 cmISBN:
  • 9789814425919
Subject(s): DDC classification:
  • 512.64 23 G753
Contents:
Introduction -- 1. Semiexact categories -- 2. Homological categories -- 3. Subquotients, homology and exact couples -- 4. Satellites -- 5. Universal constructions -- 6. Applications to algebraic topology -- 7. Homological theories and biuniversal models -- Appendix-- References-- Index.
Summary: "We propose here a study of 'semiexact' and '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', published by the same Editor, but can be read independently of the latter."--
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.64 M321 (Browse shelf(Opens below)) Available 135493
Total holds: 0

Includes bibliographical references (pages 331-336) and index.

Introduction --
1. Semiexact categories --
2. Homological categories --
3. Subquotients, homology and exact couples --
4. Satellites --
5. Universal constructions --
6. Applications to algebraic topology --
7. Homological theories and biuniversal models --

Appendix--
References--
Index.

"We propose here a study of 'semiexact' and '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', published by the same Editor, but can be read independently of the latter."--

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