Definition talk:Limit Point/Filter

As reported by private email to the ProofWiki admin (corrected for grammar):
 * "The first definition is nonsense: the full set $S$ is an element of the filter $\mathcal F$, because filters are closed under superset.  Therefore, its complement relative to $S$ is the empty set.  If the empty set is one of the sets of the intersection, the intersection must be empty.  Therefore, there is NO element which is a limit point of a filter.


 * "The second definition is different, not equivalent, but it relies on the topological notion of a neighborhood." -- Scott Engles

This matter will be attended to in due course. --prime mover 22:35, 13 July 2012 (UTC)


 * Although the email may not have been the friendliest, it is correct. The first definition excludes absolutely everything, and therefore cannot possibly serve any purpose. --Dfeuer (talk) 18:26, 9 February 2013 (UTC)