first countable implies compactly generated
Suppose is first countable, and has the property that, if is any compact set in , the set is closed in . We want to show tht is closed in . Since is first countable, this is equivalent to showing that any sequence in converging to implies that . Let .
|Title||first countable implies compactly generated|
|Date of creation||2013-03-22 19:09:35|
|Last modified on||2013-03-22 19:09:35|
|Last modified by||CWoo (3771)|