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Wagner’s Theory of Generalised Heaps

  • Christopher D. Hollings
  • Mark V. Lawson

Table of contents

  1. Front Matter
    Pages i-xv
  2. Christopher D. Hollings, Mark V. Lawson
    Pages 1-3
  3. Christopher D. Hollings, Mark V. Lawson
    Pages 5-6
  4. Christopher D. Hollings, Mark V. Lawson
    Pages 7-23
  5. Christopher D. Hollings, Mark V. Lawson
    Pages 25-29
  6. Christopher D. Hollings, Mark V. Lawson
    Pages 31-35
  7. Christopher D. Hollings, Mark V. Lawson
    Pages 37-41
  8. Christopher D. Hollings, Mark V. Lawson
    Pages 43-47
  9. Christopher D. Hollings, Mark V. Lawson
    Pages 49-145
  10. Christopher D. Hollings, Mark V. Lawson
    Pages 147-169
  11. Back Matter
    Pages 171-189

About this book

Introduction

The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner’s main work in this area, his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work.

Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications.

Keywords

V. V. Wagner generalised groups differential geometry inverse semigroups Historic mathematics binary relations mappings between sets modern algebra Pseudogroups bitorsors Generalised heaps partial transformations coordinate structures Ternary operations Semigroup theory Viktor VladimirovichWagner mathematicians in USSR 20th century mathematics history

Authors and affiliations

  • Christopher D. Hollings
    • 1
  • Mark V. Lawson
    • 2
  1. 1.Mathematical InstituteUniversity of OxfordOxfordUnited Kingdom
  2. 2.Department of MathematicsHeriot-Watt UniversityEdinburghUnited Kingdom

Bibliographic information