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hw1-8.pdf
(from Closed Sets and Limit Points)
This is a proof regarding conditions for X being Hausdorff.
Uniquely determined proof - Let f:A--Y be continuous with Y Hausdorff....
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(See attached file for full problem description)
Tychonoff and Hausdorff Spaces - Let X and Y connected, locally path connected and Hausdorff. let X be compact.
Let f: X ---> Y be a local homeomorphism. Prove that f is a surjective covering with finite
fibers.
Prove:
a) Any s ...
Bijection is Homeomorphism - Let f : M -> N be a continuous bijection. M is compact.
Show that f is a homeomorphism.
Isn't a homeomorphism by definition a bijection? And since M is compact, will it not be true that N will be ...
Real Analysis - Here is the link to our reference:
http://books.google.com/books?id=z8IaHgZ9PwQC&printsec=frontcover&dq=introductory+real+analysis#PPA78,M1
Sections we covered this week:
Topological spaces
...