Note that local compactness at does not require that have a neighborhood which is actually compact, since compact open sets are fairly rare and the more relaxed condition turns out to be more useful in practice. However, it is true that a space is locally compact at if and only if has a precompact neighborhood.
|Date of creation||2013-03-22 12:38:24|
|Last modified on||2013-03-22 12:38:24|
|Last modified by||djao (24)|