MATH 4853 - Introduction To Topology

Credit Hours: 3
Contact Hours: 3 Lecture
Offered: Irregular

An introductory study of both point-set and algebraic topology. Point-set concepts covered include open, closed, finite, countable, and uncountable sets, order, product, subspace, metric, and quotient topologies, continuous functions, open and closed maps, homeomorphisms, connectedness, and compactness. Algebraic concepts include homotopy, homomorphism, chain maps, fundamental groups, homotopy groups, covering spaces, and homology.

Prerequisites: MATH 4303 - Real Analysis I