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Old 06-11-2009   #3 (permalink)
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Question Re: Let's talk topology

Quote:
Originally Posted by Ben View Post
A topology T on S is defined as T\subseteq \mathcal{P}(S), satisfying the following axioms.

...

The "indivisible pair" S(T) is called a topological space.
I would like to understand better the significance of a Topological Space.

Also, what it means when a said space if "compact" or as in "compact cover". This is of
course presuming we have some kind of metric and a Hausdorf space definition where
conitinuity is in force. Thus we have neighborhoods about each member of the space
S such that for any neighborhood of a member of S
contains another member of S. Or so I think... Hmmm...

maddog
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