Area

Topology

33 concepts in 6 topics and 2 courses. Explore freely or follow a guided course.

33concepts
6topics
2courses

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Courses

Topics

Continuity and homeomorphisms 1 concepts

Continuous function

Metric spaces 5 concepts

Metric space · Open ball · Open set in a metric space · Convergence in a metric space · Complete metric space

Topological spaces 10 concepts

Topology · Topological space · Discrete and trivial topology · Closed set · Basis of a topology · Neighborhood of a point · Interior of a set · Closure of a set · Boundary of a set · Accumulation point

Continuity and constructions 5 concepts

Continuous function between topological spaces · Homeomorphism · Subspace topology · Product topology · Quotient topology

Separation and connectedness 5 concepts

Hausdorff space · Connected space · Continuous image of a connected space · Path-connected space · Connected component

Compactness 7 concepts

Open cover · Compact space · Compact sets in Hausdorff spaces · Continuous image of a compact space · Heine-Borel theorem · Sequential compactness · Lebesgue number