Introduction to Uniform Spaces
Introduction to Uniform Spaces

Author: I. M. James

Publisher: Cambridge University Press

Published: 1990-05-03

Total Pages: 160

ISBN-13: 9780521386203

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This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces. About half the book is devoted to relatively little-known results, much of which is published here for the first time. The author sketches a theory of uniform transformation groups, leading to the theory of uniform spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them here.

Zermelo's Axiom of Choice
Zermelo's Axiom of Choice

Author: Gregory H. Moore

Publisher: Courier Corporation

Published: 2012-09-20

Total Pages: 450

ISBN-13: 0486488411

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"This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"--