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General topology

Author: Jacques Dixmier
Publisher: New York : Springer-Verlag, ©1984.
Series: Undergraduate texts in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer sity year). The course was taught during the first semester of the 1979-80 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dixmier, Jacques.
General topology.
New York : Springer-Verlag, ©1984
(DLC) 83020444
(OCoLC)10277303
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jacques Dixmier
ISBN: 9781475740325 1475740328 9781441928238 1441928235
OCLC Number: 680241449
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (x, 140 pages) : illustrations.
Details: 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.
Contents: I Topological Spaces --
II Limits. Continuity --
III Constructions of Topological Spaces --
IV Compact Spaces --
V Metric Spaces --
VI Limits of Functions --
VII Numerical Functions --
VIII Normed Spaces --
IX Infinite Sums --
X Connected Spaces --
Exercises --
Index of Notations --
Index of Terminology.
Series Title: Undergraduate texts in mathematics.
Other Titles: Topologie generale.
Responsibility: Jacques Dixmier ; [translated by Sterling K. Berberian].

Abstract:

his researches into trigonometric series led him to study in detail sets of points of R (whence the concepts of open set and closed set in R, which in his work are intermingled with much subtler  Read more...

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