5 citations · 12 across the 6 of their papers we have counts for
6 papers
Second-countable compact Hausdorff spaces as remainders in and two new notions of infiniteness
Kyriakos Keremedis, Eleftherios Tachtsis, Eliza Wajch
In the absence of the Axiom of Choice, necessary and sufficient conditions for a locally compact Hausdorff space to have all non-empty second-countable compact Hausdorff spaces as…
Several amazing discoveries about compact metrizable spaces in ZF
Kyriakos Keremedis, Eleftherios Tachtsis, Eliza Wajch
In the absence of the axiom of choice, the set-theoretic status of many natural statements about metrizable compact spaces is investigated. Some of the statements are provable in $…
Cuf products and cuf sums of (quasi)-metrizable spaces in
Kyriakos Keremedis, Eliza Wajch
A cuf space (set, resp.) is a space (set, resp.) which is a countable union of finite subspaces (subsets, resp.). It is proved in (with the absence of the axiom of ch…
Denumerable cellular families in Hausdorff spaces and towers of Boolean algebras in
Kyriakos Keremedis, Eliza Wajch
A denumerable cellular family of a topological space is an infinitely countable collection of pairwise disjoint non-empty open sets of . It is proved that…
On Loeb and sequential spaces in
Kyriakos Keremedis, Eliza Wajch
A topological space is called Loeb if the collection of all its non-empty closed sets has a choice function. In this article, in the absence of the axiom of choice, connections bet…
On densely complete metric spaces and extensions of uniformly continuous functions in
Kyriakos Keremedis, Eliza Wajch
A metric space is called densely complete if there exists a dense set in such that every Cauchy sequence of points of converges in .…