Re: Local Homeomorphisms
- From: Adrian Duma <ady@xxxxxxxxx>
- Date: Thu, 17 Apr 2008 17:24:26 EDT
Let f:X -> Y be a local homeomorphism.
If X is connected, then is f a homeomorphism?
If f:R^n --> R^n is a local homeomorphism, then f is a (global) homeomorphism iff
||f(x)|| --> +oo when ||x|| --> +oo.
Consequently, there are many (injective) local homeomorphisms that are not global.
Best regards.
.
If U,V are open and U homeomorphic f(U), V
homeomorphic f(V),
is not U \/ V homeomorphic to f(U) \/ f(V) = f(U \/
V) ?
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