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Technical Uniform Spaces

Posted on 2010-07-31




Name:Technical Uniform Spaces
ASIN/ISBN:0821815121
Publisher:American Mathematical Society
Publish Date:edition 1964
Pages:175 pages
File size:13.9 Mb
Publisher: American Mathematical Society
ISBN: 0821815121
Publish Date: edition 1964
File Type: PDF
Pages: 175 pages
File Size: 13,9 mb
   Technical Uniform Spaces

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Uniform Spaces

Uniform spaces play the same role for uniform continuity as topological spaces for continuity. The theory was created in 1936 by A. Weil, whose original axiomatization was soon followed by those of Bourbaki and Tukey; in this book use is made chiefly of Tukey's system, based on uniform coverings. The organization of the book as a whole depends on the Eilenberg-MacLane notions of category, functor and naturality, in the spirit of Klein's Erlanger Program but with greater reach. The preface gives a concise history of the subject since 1936 and a foreword outlines the category theory of Eilenberg and MacLane.

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