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Topic: Cech Stone Compactification
Replies: 7   Last Post: Jan 2, 2013 3:43 AM

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William Elliot

Posts: 2,637
Registered: 1/8/12
Re: Cech Stone Compactification
Posted: Jan 2, 2013 3:43 AM
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On Tue, 1 Jan 2013, David Hartley wrote:
> Elliot <> writes

> > What more general definitions of Cech Stone compactifications are
> > there. Any beyond the construction with filters and the construction
> > for Tychonov T0 spaces?

> The one you referred to in your original post, i.e. in Wikipedia. Defined
> categorically in terms of the universal property and constructed using
> continuous functions into [0,1]. That's not always a compactification in the
> usual sense, which is why they added the comments which puzzled you.

Poof, all confusions banished. :-)

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