Core unitUnit 17 of 24
Topology
Study the fundamental properties of spaces that remain unchanged through continuous deformation.
Difficulty
Beginner
Estimated study
200 hours
Duration
Self-paced
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About this unit
Unit overview
This unit studies continuity and shape through open sets, compactness, connectedness and equivalence under continuous deformation. It provides a unifying language for analysis, geometry and many areas of modern mathematics.
Learning outcomes
What you’ll learn
- 01Work with topological spaces, bases and subspaces
- 02Analyse continuity using open sets and homeomorphisms
- 03Prove results about compactness and connectedness
- 04Construct and distinguish quotient and product spaces