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The Mathematical Legacy of Eduard Čech

  • Miroslav Katětov
  • Petr Simon

Table of contents

  1. Front Matter
    Pages 1-8
  2. Life and Work of Eduard Čech

    1. M. Katětov, J. Novák, A. Švec
      Pages 9-20
  3. Bibliography of Eduard Čech

    1. Miroslav Katětov, Petr Simon
      Pages 21-25
  4. Čech-Stone Compactification

    1. Front Matter
      Pages 26-34
    2. Eduard Čech
      Pages 38-59
    3. Bedřich Pospíšil
      Pages 60-61
    4. I. Gelfand, A. Kolmogoroff
      Pages 62-66
    5. Irving Glicksberg
      Pages 67-80
    6. I. I. Parovičenko
      Pages 93-96
    7. Zdeněk Frolík
      Pages 97-99
    8. K. Kunen
      Pages 100-108
  5. Dimension Theory

    1. Front Matter
      Pages 109-125
    2. Eduard Čech
      Pages 130-148
    3. Eduard Čech
      Pages 149-160
    4. O. V. Lokucievskij
      Pages 161-164
    5. C. H. Dowker, W. Hurewicz
      Pages 178-183
    6. Petr Vopěnka
      Pages 184-190
    7. M. G. Charalambous
      Pages 204-212
  6. Algebraic Topology

    1. Front Matter
      Pages 213-230
    2. Eduard Čech
      Pages 256-264
    3. Eduakd Čech
      Pages 265-281
    4. S. Lefschetz
      Pages 282-317
    5. C. H. Dowker
      Pages 318-332
  7. Differential Geometry

  8. Professor Cech and Didactics of Mathematics

  9. Back Matter
    Pages 442-445

About this book

Introduction

The work of Professor Eduard Cech had a si~ificant influence on the development of algebraic and general topology and differential geometry. This book, which appears on the occasion of the centenary of Cech's birth, contains some of his most important papers and traces the subsequent trends emerging from his ideas. The body of the book consists of four chapters devoted to algebraic topology, Cech-Stone compactification, dimension theory and differential geometry. Each of these includes a selection of Cech's papers, a brief summary of some results which followed from his work or constituted solutions to the problems he posed, and several selected papers by various authors concerning the areas of study he initiated. The book also contains a concise biography borrowed with minor changes from the book Topological papers of E. tech, a list of Cech's publications and a very brief note on his activity in the didactics of mathematics. The editors wish to express their sincere gratitude to all who contributed to the completion and publication of this book.

Keywords

Compact space Compactification evolution mathematics topology

Editors and affiliations

  • Miroslav Katětov
    • 1
  • Petr Simon
    • 1
  1. 1.Matematický ústavPraha 8Czech Republic

Bibliographic information