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Topological fields

Warner, Seth, 1927-

Topological fields [electronic resource] / Seth Warner. - Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1989. - 1 online resource (xiii, 563 p.) - Notas de mat�ematica ; 126 North-Holland mathematics studies ; 157 . - North-Holland mathematics studies ; 157. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 126. .

Includes indexes.

Includes bibliographical references (p. 511-548).

Front Cover; Topological Fields; Copyright Page; Foreword; Notation; Table of Contents; Chapter I. Topological Groups; Chapter II. Topological Rings and Modules; Chapter III. Absolute Values; Chapter IV. Topological Vector Spaces and Their Applications; Chapter V. Valuations; Chapter VI. Locally Bounded Topologies; Chapter VII. Historical Notes; Bibliography; Name Index; Subject Index;

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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.


Electronic reproduction.
[S.l.] :
HathiTrust Digital Library,
2011.


Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212

9780444874290 0444874291 9780080872681 (electronic bk.) 0080872689 (electronic bk.) 1281790656 9781281790651

127857:123221 Elsevier Science & Technology http://www.sciencedirect.com


Topological fields.
Corps topologiques.
Topological fields.
MATHEMATICS--Number Theory.
Corps topologique.
Anneau topologique.
Valuation.
Topologie localement born�ee.
Histoire corps topologique.


Electronic books.

QA1 / .N86 no. 126eb QA247 / .W37 1989eb

510 512/.74
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