Topology and Maps (Mathematical Concepts and Methods in Science and Engineering) (Volume 5)

Husain, Taqdir

ISBN 10: 0306310058 / ISBN 13: 9780306310058

Published by Plenum Press, 1977

About this Item

Volume 5. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:0306310058.

Seller Inventory # 7098227

Bibliographic Details

• Title: Topology and Maps (Mathematical Concepts and Methods in Science and Engineering) (Volume 5)
• Publisher: Plenum Press
• Publication Date: 1977
• Language: English
• ISBN 10: 0306310058
• ISBN 13: 9780306310058
• Binding: Hardcover
• Condition: Fair
• Weight: 750 grams
• Seller catalogs:
  • Mathematics

About this title

Synopsis

This work is suitable for undergraduate students as well as advanced students and research workers. It consists of ten chapters, the first six of which are meant for beginners and are therefore suitable for undergraduate students; Chapters VII-X are suitable for advanced students and research workers interested in functional analysis. This book has two special features: First, it contains generalizations of continuous maps on topological spaces, e. g. , almost continuous maps, nearly continuous maps, maps with closed graph, graphically continuous maps, w-continuous maps, and a-continuous maps, etc. and some of their properties. The treatment of these notions appears here, in Chapter VII, for the first time in book form. The second feature consists in some not-so-easily-available nuptial delights that grew out of the marriage of topology and functional analysis; they are topics mainly courted by functional analysts and seldom given in topology books. Specifically, one knows that the set C(X) of all real- or com­ plex-valued continuous functions on a completely regular space X forms a locally convex topological algebra, a fortiori a topological vector space, in the compact-open topology. A number of theorems are known: For example, C(X) is a Banach space iff X is compact, or C(X) is complete iff X is a kr-space, and so on. Chapters VIII and X include this material, which, to the regret of many interested readers has not previously been available in book form (a recent publication (Weir [\06]) does, however, contain some material of our Chapter X).