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Topology

Topology explores spaces and the study of the continuity of functions, and from the perspective of undergraduates, it can be seen as a generalization of Analysis. Its applications throughout mathematics are nearly as ubiquitous as Set Theory.

General Topology

Topology

Basis

Topological Properties

Homeomorphism

Topological Properties

Connectedness

Compactness

Many topics in topology are important, but compactness is particularly significant. Even if topology isn’t your strong suit, it’s crucial to diligently study compactness.

Spaces

Product and Quotient

Manifolds

Named Spaces

References

  • Croom. (1989). Principles of Topology
  • Munkres. (2000). Topology(2nd Edition)

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