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Topology is one of the cornerstones in the foundation of modern mathematics. It appears everywhere. The purpose of this course is to give students the background in topology that they need to pursue higher level mathematics. Point-Set Topology is a very abstract in nature. The entire subject is built from a few set theoretic definitions that can be used in a wide variety of situations. In this course, we cover: Topological Spaces, basis , the product topology, continuity and homeomorphism, the quotient topology, metric spaces, compactness, separability, and connectedness.
Course Notes and Supplementary Material (PDF format)
|Instructor notes||v1 PDF (104K)|
|Student notes||v1 PDF (96K)|