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.
Springer-Verlag New York
|Country of origin:
||Graduate Texts in Mathematics, 270
Steven H. Weintraub
||235 x 155 x 16mm (L x W x T)
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