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Algebraic Topology I

MATH 6801: Algebraic Topology I

Simplicial and CW- complexes, operations on spaces; homotopy and homeomorphism type; fundamental group, Seifert Van-Kampen Theorem; classification of covering spaces; singular and simplicial homology, chain maps, homotopy invariance, functoriality.
Prereq: Grad standing or both 5801 (640) and 5111 (670). Not open to students with credit for 756.
Credit Hours
3.0

Textbook

Title: Topology
Edition: 2nd
Author: Munkres
Publisher: Pearson
ISBN: 9780131816299

Semester(s) Offered:

Autumn