MAT 355E - Introduction to Topology

Course Objectives

Introducing the fundamental concepts of topology such as proximity, convergence, continuity and connectedness.

Course Description

The real line from a topological point of view: proximity, convergence, continuity and connectedness. Metric spaces. General topological spaces. Open and closed sets. Closure, interior and boundary. Proximity, convergence, continuity and connectedness revisited. Separation axioms.