Topological fields [electronic resource] / Seth Warner.

By: Warner, Seth, 1927-Material type: Text

TextSeries: North-Holland mathematics studies ; 157. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 126.Publication details: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1989. Description: 1 online resource (xiii, 563 p.)Content type: text Media type: computer Carrier type: online resourceISBN: 9780444874290; 0444874291; 9780080872681 (electronic bk.); 0080872689 (electronic bk.); 1281790656; 9781281790651Subject(s): Topological fields | Corps topologiques | Topological fields | MATHEMATICS -- Number Theory | Corps topologique | Anneau topologique | Valuation | Topologie localement born�ee | Histoire corps topologiqueGenre/Form: Electronic books.Additional physical formats: Print version:: Topological fields.DDC classification: 510 | 512/.74 LOC classification: QA1 | .N86 no. 126ebQA247 | .W37 1989ebOnline resources: ScienceDirect | Volltext

Contents:

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;

Action note: digitized 2011 committed to preserveSummary: 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.

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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.

Includes bibliographical references (p. 511-548).

Includes indexes.

Description based on print version record.

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

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. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL

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