Abstract

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.
Intended for graduates with a basic knowledge of point set topology and algebra, this text gives enough background for tackling current literature about topological rings that, algebraicly, are fields.
ASLIB Booklist
Book contains a comprehensive treatment of the fundamentals of topological field theory, but also goes far enough so that the reader is prepared to tackle current literature.
The American Mathematical Monthly
J.B. Prolla
This is a carefully written book on the subject of topological algebra. It brings the reader to the frontiers of current research, and puts together almost all known results of importance dealing with topological fields. A rather complex bibliography and a very good collection of exercises are given. Many results which did not find room in the text, and illustrations of theorems of the text, are included in the exercises, with helpful hints for their solution or for their location in the literature.
Mathematical Reviews