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General Topology and Homotopy Theory
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Catalogue Information
Field name
Details
Dewey Class
514.2
Title
General Topology and Homotopy Theory ([EBook]) / by I. M. James.
Author
James, Ioan Mackenzie , 1928-
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer New York , 1984
Physical Details
248 p. : online resource.
ISBN
9781461382836
Summary Note
Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form. In this book I have tried to take a fresh look at some of this basic material and to organize it in a coherent fashion. The text is as self-contained as I could reasonably make it and should be quite accessible to anyone who has an elementary knowledge of point-set topology and group theory. This book is based on a course of 16 graduate lectures given at Oxford and elsewhere from time to time. In a course of that length one cannot discuss too many topics without being unduly superficial. However, this was never intended as a treatise on the subject but rather as a short introductory course which will, I hope, prove useful to specialists and non-specialists alike. The introduction contains a description of the contents. No algebraic or differen tial topology is involved, although I have borne in mind the needs of students of those branches of the subject. Exercises for the reader are scattered throughout the text, while suggestions for further reading are contained in the lists of references at the end of each chapter. In most cases these lists include the main sources I have drawn on, but this is not the type of book where it is practicable to give a reference for everything.:
Contents note
1 The Basic Framework -- 2 The Axioms of Topology -- 3 Spaces Under and Spaces Over -- 4 Topological Transformation Groups -- 5 The Notion of Homotopy -- 6 Cofibrations and Fibrations -- 7 Numerable Coverings -- 8 Extensors and Neighbourhood Extensors.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4613-8283-6
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Subject References:
Algebraic Topology
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Mathematics
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Authors:
James, Ioan Mackenzie 1928-
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Corporate Authors:
SpringerLink (Online service)
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Classification:
514.2
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