Topic: Continuous Maps and Homeomorphisms

Maps into Subspaces

Inverse-Image Identities for Continuous Maps

Identity Maps Between Different Topologies

Homeomorphisms of Finite Topological Spaces

Homeomorphisms and Topological Equivalence

Distinguishing Continuity, Openness, and Closedness

Continuity by Open Preimages

Continuity at a Point Through Neighborhoods

Continuity and Closure Preservation

Constructing Homeomorphisms by Formula