Topology and Metric Spaces

Explore continuity, compactness, and connectedness in abstract topological and metric spaces.

10 concepts0 lessons available
Content availability0%

Course Outline

1

Basic Set Theory and Functions

Coming soon
2

Open and Closed Sets

Coming soon
3

Neighborhoods and Limit Points

Coming soon
4

Basis for a Topology

Coming soon
5

Subspace Topology

Coming soon
6

Continuous Functions and Homeomorphisms

Coming soon
7

Compactness Theorems (Heine-Borel, Tychonoff)

Coming soon
8

Connected Spaces and Properties of Connectedness

Coming soon
9

Separation Axioms (T0, T1, T2, etc.)

Coming soon
10

Metric Spaces and Their Properties (Cauchy Sequences, Completeness)

Coming soon

More content coming soon!

Sign up to get notified when new lessons become available in this course.

Create Free Account