is frechet space compact
Let us state several consequences of these statements. The product of a .rst-countable space and a FrÃ©chet countably compact space is FrÃ©chet. Every countably compact FrÃ©chet space is a4. A space Xis FrÃ©chet a4 if and only if it is strongly FrÃ©chet. Not all FrÃ©chet spaces are strongly FrÃ©chet, F.is such an example.