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|a 9781493918447
|9 978-1-4939-1844-7
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|a 10.1007/978-1-4939-1844-7
|2 doi
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|a Weintraub, Steven H.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Fundamentals of Algebraic Topology
|h [electronic resource] /
|c by Steven H. Weintraub.
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| 250 |
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|a 1st ed. 2014.
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| 264 |
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2014.
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|a X, 163 p. 82 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Graduate Texts in Mathematics,
|x 0072-5285 ;
|v 270
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| 505 |
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|a Preface -- 1. The Basics -- 2. The Fundamental Group -- 3. Generalized Homology Theory -- 4. Ordinary Homology Theory -- 5. Singular Homology Theory -- 6. Manifolds -- 7. Homotopy Theory -- 8. Homotopy Theory -- A. Elementary Homological Algebra -- B. Bilinear Forms.- C. Categories and Functors -- Bibliography -- Index.
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|a This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated. Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.
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| 650 |
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|a Algebraic topology.
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| 650 |
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|a Manifolds (Mathematics).
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| 650 |
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|a Complex manifolds.
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| 650 |
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|a Category theory (Mathematics).
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| 650 |
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|a Homological algebra.
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| 650 |
1 |
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|a Algebraic Topology.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M28019
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| 650 |
2 |
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|a Manifolds and Cell Complexes (incl. Diff.Topology).
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M28027
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| 650 |
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|a Category Theory, Homological Algebra.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M11035
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| 710 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer Nature eBook
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| 776 |
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|i Printed edition:
|z 9781493918430
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| 776 |
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|i Printed edition:
|z 9781493918454
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| 776 |
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|i Printed edition:
|z 9781493948857
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| 830 |
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|a Graduate Texts in Mathematics,
|x 0072-5285 ;
|v 270
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| 856 |
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|u https://doi.org/10.1007/978-1-4939-1844-7
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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| 950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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