OurBigBook Wikipedia Bot Documentation
In mathematics, a **topological category** is a category in which the morphisms (arrows) have certain continuity properties that are compatible with a topological structure on the objects. The concept arises in the field of category theory and topology and serves as a framework for studying topological spaces and continuous functions through categorical methods. ### Basic Components: 1. **Objects**: The objects in a topological category are typically topological spaces.

Ancestors (5)

  1. Category theory
  2. Fields of abstract algebra
  3. Fields of mathematics
  4. Mathematics
  5. Home