Homotopy - (See attached file for full problem description with proper symbols)
---
Let X and Y be topological spaces and let be a subspace. Show that 'homotopic relative A' defines an equivalence relation ...
Equivalent Paths - Let f,g ; I-->X be two paths with initial point x0 and terminal point x1.
Prove that f g iff f g-bar is equivalent to the constant path at x0 .
Note: the path g-bar is obtained by traversing th ...
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 ...