Mathematics 131

Topological Spaces and Fundamental Group (111458)

Michael Hopkins

2025 Fall (4 Credits)

Schedule: MW 0130 PM - 0245 PM

Instructor Permissions: None

Enrollment Cap: n/a

First, an introduction to abstract topological spaces, their properties (compactness, connectedness, metrizability) and their corresponding continuous functions and mappings.  Then, an introduction to algebraic topology including homotopy theory, fundamental groups and covering spaces.

Recommended Prep:

Some acquaintance with metric space topology as taught in Mathematics 22a,b, 23a,b, 25a,b, 55a,b, 101, 102, or 112; and with groups as taught in Mathematics 101, 122 or 55a.

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