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Indian Institute of Science Education and Research Bhopal


MTH 605: Topology I (4)

General Topology: Connectedness, Compactness, Local Compactness, Paracompactness, Quotient Spaces, Topological Groups, and Baire Category Theorem.

Fundamental Gruops and Covering Spaces: Homotopy, Homotopy Equivalence and Deformation Retractions, Fundamental Group, Van Kampen Theorem, Deck Transformations, Group Actions, and Classification of covering spaces.

Cellular and Simplicial Complexes: Operations on Cell Complexes and Homotopy Extension Property. Simplicial Complexes - Barycentric Subdivision and Simplicial Approximation Theorem.

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