Aspects of Topology: In Memory of Hugh Dowker 1912–1982

doi:10.1017/CBO9781107359925

This is a memorial volume to the distinguished Canadian-born mathematician Hugh Dowker, one of the most highly regarded topologists in the United Kingdom and sometime Professor at Birkbeck College, London. The volume comprises specially written articles on various topological topics by experts in many countries who worked with Dowker at one time or another. These include survey, expository and research articles on general topology, algebraic topology and related subjects such as knot theory and graph theory. The volume will be of great interest to graduate students and professional mathematicians whose speciality is topology, in all its aspects.

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-vii
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CONTRIBUTORS
pp viii-viii
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NOTES
pp ix-x
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Obituary: Clifford Hugh Dowker
pp xi-xviii
- By Dona Strauss, The University of Hull
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Knot tabulations and related topics
pp 1-76
- By Morwen B. Thistlethwaite, Polytechnic of the South Bank
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How general is a generalized space?
pp 77-112
- By Peter T. Johnstone, University of Cambridge
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A survey of metrization theory
pp 113-126
- By Jun-iti Nagata, Osaka Kyoiku University
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Some thoughts on lattice valued functions and relations
pp 127-140
- By M. W. Warner, The City University
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General topology over a base
pp 141-174
- By I.M. James, Mathematical Institute
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K-Dowker spaces
pp 175-194
- By M.E. Rudin, University of Wisconsin
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Graduation and dimension in locales
pp 195-210
- By J. Isbell, State University of New York at Buffalo
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A geometrical approach to degree theory and the Leray-Schauder index
pp 211-226
- By J. Dugundji, University of Southern California
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On dimension theory
pp 227-250
- By B.A. Pasynkov, Moscow State University
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An equivariant theory of retracts
pp 251-270
- By Sergey Antonian, State University of Yerevan
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P-embedding, LCn spaces and the homotopy extension property
pp 271-280
- By Kiiti Morita, Sophia University
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Special group automorphisms and special self-homotopy equivalences
pp 281-292
- By Peter Hilton, University of New York at Binghamton
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Rational homotopy and torus actions
pp 293-306
- By Stephen Halperin, University of Toronto
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Remarks on stars and independent sets
pp 307-314
- By P. Erdös, Mathematical Institute of the Hungarian Academy of Sciences, J. Pach, Mathematical Institute of the Hungarian Academy of Sciences
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Compact and compact Hausdorff
pp 315-324
- By A.H. Stone, University of Rochester
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T1 - and T2 axioms for frames
pp 325-335
- By C.H. Dowker, University of Hull, D. Strauss, University of Hull
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Aspects of Topology

In Memory of Hugh Dowker 1912–1982

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Contents

Frontmatter
pp i-vi

Contents
pp vii-vii

CONTRIBUTORS
pp viii-viii

NOTES
pp ix-x

Obituary: Clifford Hugh Dowker
pp xi-xviii

Knot tabulations and related topics
pp 1-76

How general is a generalized space?
pp 77-112

A survey of metrization theory
pp 113-126

Some thoughts on lattice valued functions and relations
pp 127-140

General topology over a base
pp 141-174

K-Dowker spaces
pp 175-194

Graduation and dimension in locales
pp 195-210

A geometrical approach to degree theory and the Leray-Schauder index
pp 211-226

On dimension theory
pp 227-250

An equivariant theory of retracts
pp 251-270

P-embedding, LCn spaces and the homotopy extension property
pp 271-280

Special group automorphisms and special self-homotopy equivalences
pp 281-292

Rational homotopy and torus actions
pp 293-306

Remarks on stars and independent sets
pp 307-314

Compact and compact Hausdorff
pp 315-324

T1 - and T2 axioms for frames
pp 325-335

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Aspects of Topology

In Memory of Hugh Dowker 1912–1982

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