Showing subspace is compact IFF any sequence of elements has a converging subsequece
Show that a subspace X of the Euclidean space Rn is compact if and only if any
sequence of elements of X has a converging subsequence. Remark: this statement
holds in the considerably greater generality of any metric space but the proof of this
more general result is quite involved.
Re: Showing subspace is compact IFF any sequence of elements has a converging subsequ
How do you define a combact subspace?
Originally Posted by Cloud141