Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields). The reader is given enough background to tackle the current literature without undue additional preparation. Many results not in the text (and many illustrations by example of theorems in the text) are included among the exercises. Sufficient hints for the solution of the exercises are offered so that solving them does not become a major research effort for the reader. A comprehensive bibliography completes the volume.
Author(s): Seth Warner (Eds.)
Series: Notas de matematica North-Holland mathematics studies 126, 157
Publisher: North-Holland
Year: 1989
Language: English
Pages: ii-x, 1-563
City: Amsterdam; New York :, New York, N.Y., U.S.A
Content:
Editor
Page ii
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Foreword
Pages vii-ix
Notation
Pages ix-x
Chapter I Topological Groups
Pages 1-76
Chapter II Topological Rings and Modules
Pages 77-136
Chapter III Absolute Values
Pages 137-205
Chapter IV Topological Vector Spaces and Their Applications
Pages 207-273
Chapter V Valuations
Pages 275-380
Chapter VI Locally Bounded Topologies
Pages 381-468
Chapter VII Historical Notes
Pages 469-509
Bibliography
Pages 511-548
Name Index
Pages 549-553
Subject Index
Pages 555-563
