Category of topological spaces
The category of topological spaces
Well defined category
- Composition of continuous maps yields a continuous map
- The identity is always continuous
- Function composition is already associative
Properties
Universal constructions
- The initial object of
isπ³ π π with the unique topologyβ - The terminal object of
isπ³ π π with the unique topology{ β }
Morphisms
Related categories
- NaΓ―ve homotopy category is the Quotient category of
with Homotopy of maps.π π³ π π