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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Compactification
Replies: 15   Last Post: Mar 17, 2013 6:11 AM

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Shmuel (Seymour J.) Metz

Posts: 3,058
Registered: 12/4/04
Re: Compactification
Posted: Dec 13, 2012 10:03 AM
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In <Pine.NEB.4.64.1212130044270.26635@panix2.panix.com>, on 12/13/2012
at 12:47 AM, William Elliot <marsh@panix.com> said:

>So what?

Because the intuitive model of compactification is that we're adding
extra points to extend a space. In fact, one definition of
compactification of a space X is that it is a compact topological
space Y whose base set is a superset of X's base set for which the
restriction to the base set of X is X.

--
Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

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