General Topology (eBook, 1984) [WorldCat.org]
skip to content
New WorldCat.org coming soon
General Topology
Checking...

General Topology

Author: Berberian.
Publisher: [Place of publication not identified] Springer New York, 1984.
Edition/Format:   eBook : Document
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...
Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Berberian.
ISBN: 9780387909721 0387909729
OCLC Number: 1012444437
Notes: Title from content provider.
Description: 1 online resource
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.
Responsibility: Berberian.

Abstract:

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, we shall limit ourselves to the origins of the theory since the nineteenth century. One of the sources of topology is the effort to clarify the theory of real-valued functions of a real variable: uniform continuity, uniform convergence, equicontinuity, Bolzano-Weierstrass theorem (this work is historically inseparable from the attempts to define with precision what the real numbers are). Cauchy was one of the pioneers in this direction, but the errors that slip into his work prove how hard it was to isolate the right concepts. Cantor came along a bit later; 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 concepts). The foregoing alone does not justify the very general framework in which this course is set. The fact is that the concepts mentioned above have shown themselves to be useful for objects other than the real numbers.

Reviews

Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.