Re: Your question on the talk page of Banach-Alaoglu theorem. If the weak-star topology is metrizable then a subset is compact iff it is sequentially compact (and in some cases it is metrizable). I hope this helps A Geek Tragedy 17:54, 14 February 2007 (UTC)
- Yes thanks. -- Trigamma 19:09, 14 February 2007 (UTC)