Contractible spaces - (See attached file for full problem description with all symbols)
---
Let X be a contractible space:
a) Show that X is path connected
b) Show that any two continuous maps where Y is any topo ...
sierpinski space is contractible - Let X be Sierpinski space: X={x,y} with topology {X,empty set, {x}} .
prove that X is contractible.
Homotopy Types and Equivalence Relations - Prove that "having the same homotopy type" is an equivalence relation on the set of topological spaces.
keywords: homotopic
sierpinski space is contractible - Let X be Sierpinski space: X={x,y} with topology {X,empty set, {x}} .
prove that X is contractible.