Homeomorphisms and Topological Invariants
Overview
A function
{% f: X \rightarrow Y %}
is a homeomorphism is it is continuous, and it has an inverse function {% f^{-1} %} that is also continuous
Topological Invariants
A property of a topological space is an invariant if any space which has a homeomorphism to the original space must also share the
given property. Examples of topological invariants include:
- Compactness
- Connectedness
