Topology
Explore spaces and continuity; global properties and constructions; separation and invariants. Concepts and connections are available independently of video coverage.
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Hausdorff spaces
Distinct points admit disjoint neighborhoods in a Hausdorff space.
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Connectedness
A connected space cannot be separated into two disjoint nonempty open pieces.
Fundamental group
Based loops modulo endpoint-fixed homotopy form a group under concatenation.
Sets
A set is a collection of distinct objects; membership is different from inclusion.
Topological manifolds
A manifold locally resembles Euclidean space with suitable separation and countability conditions.
Homeomorphisms
A homeomorphism is a bijection continuous in both directions.
Knowledge connections
- Topological manifolds · Related · Map context
- Fundamental group · Related · Map context
- Connectedness · Related · Map context
- Sets · Related · Map context