Topology: general and algebraic
(eBook)
Author:
Contributors:
Published:
New Delhi : New Age International (P) Ltd., Publishers, c2007.
Format:
eBook
Physical Desc:
x, 165 pages : ill.
Status:
Ebrary (CCU)
Description
About the Book: This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book. The book finally arrives at the realm of differentiable manifold and fibre bundles. It should be usefull for mathematicians as well as Physicists desiring to acquire overall knowledge of algebraic topology and its tools. Contents: PART I- Sets, Relations and Functions Topology of R and R2 Metric Space Topological Spaces Separation Axioms Compactness Connectedness PART II - Algebraic Preliminaries Homotopy Theory Compact Open Topology Higher Homotopy Groups Surfaces, Manifolds and CW-complexes Simplicial Homology Theory Singular Homology Theory Manifold Analysis Fibre Bundles.
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Citations
APA Citation (style guide)
Chatterjee, D. (2007). Topology: general and algebraic. New Delhi, New Age International (P) Ltd., Publishers.
Chicago / Turabian - Author Date Citation (style guide)Chatterjee, D. 2007. Topology: General and Algebraic. New Delhi, New Age International (P) Ltd., Publishers.
Chicago / Turabian - Humanities Citation (style guide)Chatterjee, D, Topology: General and Algebraic. New Delhi, New Age International (P) Ltd., Publishers, 2007.
MLA Citation (style guide)Chatterjee, D. Topology: General and Algebraic. New Delhi, New Age International (P) Ltd., Publishers, 2007.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
Notes
Bibliography
Includes bibliographical references.
Reproduction
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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Grouped Work ID:
0e240525-f546-b66d-9ea3-b737353ab0db
Record Information
Last File Modification Time | Jan 04, 2024 04:52:20 PM |
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Last Grouped Work Modification Time | Jan 04, 2024 05:22:47 PM |
MARC Record
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245 | 1 | 0 | |a Topology|h [electronic resource] :|b general and algebraic /|c D. Chatterjee. |
260 | |a New Delhi :|b New Age International (P) Ltd., Publishers,|c c2007. | ||
300 | |a x, 165 p. :|b ill. | ||
504 | |a Includes bibliographical references. | ||
533 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
650 | 0 | |a Topology. | |
650 | 0 | |a Algebraic topology. | |
650 | 0 | |a Topological spaces. | |
655 | 4 | |a Electronic books. | |
710 | 2 | |a ProQuest (Firm) | |
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