18.901 | Fall 2004 | Undergraduate

Introduction to Topology

Course Description

This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the …
This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.

Course Info

Learning Resource Types
Lecture Notes
Problem Sets
Graphic of the topologist's sine curve.
A standard example in topology called “the topologist’s sine curve.” (Image courtesy of Prof. James Munkres.)