Talk:Uniform space
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Revision as of 18:14, 15 June 2011 by Boris Tsirelson (talk | contributions)
Something is wrong with pointers and/or their equivalence. According to these definitions, {X} is a pointer. Also neighborhoods of a point a of X is a pointer. These two pointers are equivalent. However, neighborhoods of another point b are a pointer not equivalent to the pointer of neighborhoods of a, but equivalent to {X}, in contradiction to transitivity of the equivalence relation. --Boris Tsirelson 14:14, 15 June 2011 (EDT)