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quotient space problem
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Jan Kubrik
May 13, 2008, 12:08:16 PM5/13/08
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Consider R^n with the usual topology and consider an equivalence relation ~ on R^n with classes that consist of 2 and only 2 different elements
(for every x in R^n we have [x]={x,x'}). Is it possible that the quotient space R^n/~ :
(for every x in R^n we have [x]={x,x'}). Is it possible that the quotient space R^n/~ :
i) is Hausdorff,
ii) is indiscrete,
iii) is discrete?
Daniel Lichtblau
May 13, 2008, 12:20:15 PM5/13/08
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Are they pairing continuously? That usually factors into whether they
are being indiscreet.
As for the rest, what happened last month with this?
http://at.yorku.ca/cgi-bin/bbqa?forum=ask_a_topologist;task=show_msg;msg=0857.0001
Daniel Lichtblau
Wolfram Research
Robert H. Lewis
May 13, 2008, 1:41:16 PM5/13/08
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You seem to have posted to the wrong sci.math group. This is for symbolic computation.
Robert H. Lewis
Fordham University
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