Basic algebraic topology / Anant R. Shastri

By:

Shastri, Anant R

Material type: Text

TextLanguage: English Publication details: London : CRC Press, 2021.Edition: 1st edDescription: 551 p.: ill.59 ; 25.4 x 17.8 x 3.3 cmISBN:

9781032032764

Subject(s):

DDC classification:

23 514.2 SHA

Contents:

Introduction. Cell Complexes and Simplicial Complexes. Covering Spaces and Fundamental Group. Homology Groups. Topology of Manifolds. Universal Coefficient Theorem for Homology. Cohomology. Homology of Manifolds. Cohomology of Sheaves. Homotopy Theory. Homology of Fiber Spaces. Characteristic Classes. Spectral Sequences.

Summary: Thoroughly classroom-tested, this self-contained text teaches algebraic topology to students at the MSc and PhD levels, taking them all the way to becoming algebraic topologists. Requiring basic training in point set topology, linear algebra, and group theory, the book includes historical remarks to make the subject more meaningful to students. Also suitable for researchers, it provides references for further reading, presents full proofs of all results, and includes numerous exercises

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	514.2 SHA (Browse shelf(Opens below))	Available		46970

Introduction.
Cell Complexes and Simplicial Complexes.
Covering Spaces and Fundamental Group.
Homology Groups.
Topology of Manifolds.
Universal Coefficient Theorem for Homology.
Cohomology.
Homology of Manifolds.
Cohomology of Sheaves.
Homotopy Theory.
Homology of Fiber Spaces.
Characteristic Classes.
Spectral Sequences.

Thoroughly classroom-tested, this self-contained text teaches algebraic topology to students at the MSc and PhD levels, taking them all the way to becoming algebraic topologists. Requiring basic training in point set topology, linear algebra, and group theory, the book includes historical remarks to make the subject more meaningful to students. Also suitable for researchers, it provides references for further reading, presents full proofs of all results, and includes numerous exercises

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