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" Basic concepts of algebraic topology / "
Fred H. Croom
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BL
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| Record Number
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627679
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dltt
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| Main Entry
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Croom, Fred H.,1941-
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| Title & Author
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Basic concepts of algebraic topology /\ Fred H. Croom
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| Series Statement
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Undergraduate texts in mathematics
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| Page. NO
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x, 177 pages :: diagrams ;; 25 cm
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| ISBN
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0387902880
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: 9780387902883
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: 3540902880
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: 9783540902881
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| Bibliographies/Indexes
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Includes bibliographical references (pages 169-171) and index
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| Contents
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Geometric complexes and polyhedra -- Simplicial homology groups -- Simplicial approximation -- The fundamental group -- Covering spaces -- The higher homotopy groups -- Further developments in homology
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| Abstract
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The text traces the development of algebraic topology form its inception in 1895 through the development of singular homology theory. Primary topics include geometric complexes, simplicial homology groups, simplicial mappings, the fundamental group, covering spaces, and introductory singular homology theory, as well as the higher homotopy groups and the homology sequence--two areas seldom covered in introductory text. The author develops many important applications, including the fixed point theorems of Brouwer and Lefschetz, vector fields on spheres, and the covering homotopy property
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| Subject
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Algebraic topology
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Topologie algébrique
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| Dewey Classification
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514.2
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| LC Classification
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QA612.C75
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