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Re: Cech Stone Compactification
Posted:
Jan 1, 2013 6:24 AM


In message <Pine.NEB.4.64.1301010134040.10663@panix2.panix.com>, William Elliot <marsh@panix.com> 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.
 David Hartley



