Type: Article

Selectively pseudocompact groups and p-compactness

García-Ferreira, S.; Tomita, A.H.;

Abstract:

We say that a space X is selectively pseudocompact if for each sequence (Un)n<? of nonempty open subsets of X there is a sequence (xn)n<? of points in X such that xn?Un, for each n<?, and the set {xn:n<?} has a cluster point in X. We prove that if p and q are not equivalent selective ultrafilters on ?, then there are a p-compact group and a q-compact group whose product is not selectively pseudocompact.