Comfort, W.W.; Raczkowski, S.U.; Trigos-Arrieta, F.J.(Universitat Politècnica de València, 2006-04-01)
[EN] (1) Every infinite, Abelian compact (Hausdorff) group K admits 2|K|- many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to be pseudocompact. (2) Every infinite ...
Comfort, W.W.; Gotchev, Ivan S.; Recoder-Nuñez, Luis(Universitat Politècnica de València, 2008-10-01)
[EN] Let {Xi : i ∈ I} be a set of sets, XJ :=Пi∈J Xi when Ø ≠ J ⊆ I; Y be a subset of XI , Z be a set, and f : Y → Z. Then f is said to depend on J if p, q ∈ Y , pJ = qJ ⇒ f(p) = f(q); in this case, fJ : πJ [Y ] → Z is ...
Comfort, W.W.; Hager, A.W.(Universitat Politècnica de València, 2013-04-01)
[EN] All spaces here are Tychonoff spaces. The class AE(0) consists of those spaces which are absolute extensors for compact zero-dimensional spaces. We define and study here the subclass AE(0)rp, consisting of those spaces ...