Talk:Uniform space

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)