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978-1-4939-9063-4
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9781493990634
978-1-4939-9063-4
10.1007/978-1-4939-9063-4
doi
QA564-609
PBMW
bicssc
MAT012010
bisacsh
PBMW
thema
516.35
23
Massey, William S.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
A Basic Course in Algebraic Topology
[electronic resource] /
by William S. Massey.
1st ed. 1991.
New York, NY :
Springer New York :
Imprint: Springer,
1991.
XVIII, 431 p.
online resource.
text
txt
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computer
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rdamedia
online resource
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rdacarrier
text file
PDF
rda
Graduate Texts in Mathematics,
0072-5285 ;
127
1: Two-Dimensional Manifolds -- 2: The Fundamental Group -- 3: Free Groups and Free Products of Groups -- 4: Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications -- 5: Covering Spaces -- 6: Background and Motivation for Homology Theory -- 7: Definitions and Basic Properties of Homology Theory -- 8: Determination of the Homology Groups of Certain Spaces: Applications and Further Properties of Homology Theory -- 9: Homology of CW-Complexes -- 10: Homology with Arbitrary Coefficient Groups -- 11: The Homology of Product Spaces -- 12: Cohomology Theory -- 13: Products in Homology and Cohomology -- 14: Duality Theorems for the Homology of Manifolds -- 15: Cup Products in Projective Spaces and Applications of Cup Products. Appendix A: A Proof of De Rham's Theorem. -- Appendix B: Permutation Groups or Tranformation Groups.
This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date. .
Algebraic geometry.
Algebraic Geometry.
https://scigraph.springernature.com/ontologies/product-market-codes/M11019
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Springer Nature eBook
Printed edition:
9780387974309
Printed edition:
9781493990627
Graduate Texts in Mathematics,
0072-5285 ;
127
https://doi.org/10.1007/978-1-4939-9063-4
ZDB-2-SMA
ZDB-2-SXMS
ZDB-2-BAE
Mathematics and Statistics (SpringerNature-11649)
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