Quote:
Originally Posted by Ben
A topology  on  is defined as  , satisfying the following axioms.
...
The "indivisible pair"  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

such that for any neighborhood of a member of

contains another member of

. Or so I think... Hmmm...
maddog