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The Homology of Banach and Topological Algebras

  • Book
  • © 1989

Overview

Authors:
  1. A. Ya. Helemskii

    1. Faculty of Mechanics and Mathematics, Moscow State Univesity, Moscow, USSR

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Part of the book series: Mathematics and its Applications (MASS, volume 41)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xx
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  2. Introduction

    1. Introduction

      • A. Ya. Helemskii
      Pages 1-16

  3. preparatory

    1. Algebras, Modules, Complexes

      • A. Ya. Helemskii
      Pages 17-55

    2. Cohomology Groups and Problems Giving Rise to Them

      • A. Ya. Helemskii
      Pages 56-79

    3. Tensor Products

      • A. Ya. Helemskii
      Pages 80-131

  4. basic

    1. Homological Concepts (General Properties)

      • A. Ya. Helemskii
      Pages 132-167

    2. Projectivity

      • A. Ya. Helemskii
      Pages 168-199

    3. Resolutions and Dimensions

      • A. Ya. Helemskii
      Pages 200-219

    4. Multi-Operational Holomorphic Calculus on the Taylor Spectrum

      • A. Ya. Helemskii
      Pages 220-237

    5. Flatness and Amenability

      • A. Ya. Helemskii
      Pages 238-267

  5. Back Matter

    Pages 268-334
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Keywords

Authors and Affiliations

  • Faculty of Mechanics and Mathematics, Moscow State Univesity, Moscow, USSR

    A. Ya. Helemskii

Bibliographic Information

  • Book Title: The Homology of Banach and Topological Algebras

  • Authors: A. Ya. Helemskii

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-009-2354-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1989

  • Hardcover ISBN: 978-0-7923-0217-9Published: 31 October 1989

  • Softcover ISBN: 978-94-010-7560-2Published: 30 September 2011

  • eBook ISBN: 978-94-009-2354-6Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XX, 334

  • Additional Information: Originally published in Russian

  • Topics: Functional Analysis, Category Theory, Homological Algebra, Algebraic Topology

  • Industry Sectors: IT & Software

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