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© 1972

Categories

Book

Table of contents

  1. Front Matter
    Pages N1-XI
  2. Horst Schubert
    Pages 1-5
  3. Horst Schubert
    Pages 5-16
  4. Horst Schubert
    Pages 24-32
  5. Horst Schubert
    Pages 32-36
  6. Horst Schubert
    Pages 37-45
  7. Horst Schubert
    Pages 45-62
  8. Horst Schubert
    Pages 62-69
  9. Horst Schubert
    Pages 69-81
  10. Horst Schubert
    Pages 81-96
  11. Horst Schubert
    Pages 96-110
  12. Horst Schubert
    Pages 110-123
  13. Horst Schubert
    Pages 123-139
  14. Horst Schubert
    Pages 139-152
  15. Horst Schubert
    Pages 152-166
  16. Horst Schubert
    Pages 166-188
  17. Horst Schubert
    Pages 220-256
  18. Horst Schubert
    Pages 256-291

About this book

Introduction

Categorical methods of speaking and thinking are becoming more and more widespread in mathematics because they achieve a unifi­ cation of parts of different mathematical fields; frequently they bring simplifications and provide the impetus for new developments. The purpose of this book is to introduce the reader to the central part of category theory and to make the literature accessible to the reader who wishes to go farther. In preparing the English version, I have used the opportunity to revise and enlarge the text of the original German edition. Only the most elementary concepts from set theory and algebra are assumed as prerequisites. However, the reader is expected to be mathe­ to follow an abstract axiomatic approach. matically sophisticated enough The vastness of the material requires that the presentation be concise, and careful cooperation and some patience is necessary on the part of the reader. Definitions alway precede the examples that illuminate them, and it is assumed that the reader is familiar with some of the algebraic and topological examples (he should not let the other ones confuse him). It is also hoped that he will be able to explain the con­ cepts to himself and that he will recognize the motivation.

Keywords

Adjoint functor Categories Coproduct Initial object Kategorie Microsoft Access algebra category theory colimit development equalizer homomorphism set transformation zero object

Authors and affiliations

  1. 1.Mathematisches InstitutUniversität DüsseldorfGermany

Bibliographic information

  • Book Title Categories
  • Authors Horst Schubert
  • DOI https://doi.org/10.1007/978-3-642-65364-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1972
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-05783-3
  • Softcover ISBN 978-3-642-65366-7
  • eBook ISBN 978-3-642-65364-3
  • Edition Number 1
  • Number of Pages XIII, 385
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original German edition published in two volumes in the series: Heidelberger Taschenbücher
  • Topics Algebra
  • Buy this book on publisher's site