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Algebraic Topology


The fundamental group and covering spaces (including classification); compact surfaces; homology theory, computations (including homotopy invariance) and applications (including Brouwer fixed point theorem).


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Credit Hours: 

This course is an introduction to the fundamentals of algebraic topology.

Topics include:

The fundamental groups, Van Kampen theorem, covering spaces, covering transformations

Homology groups, excision, Mayer-Vietoris theorem, applications, existence of nowhere vanishing vector fields, Poincare duality.

(Purnaprajna 2003 )


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