AbstractWe show that there is a perfectly normal non-metrizable manifold if there is a Luzin subset of the real line, and that there is a countably compact perfectly normal non-metrizable manifold in any model of set-theory obtained by adding Cohen reals to a model of ZFC+⋄
AbstractVarious topological results are examined in models of Zermelo-Fraenkel set theory that do no...
In answer to a question originally raised by Alexandroff in [A], Rudin and Zenor, using the continuu...
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
Abstract. We show that there is a perfectly normal non-metrizable manifold if there is a Luzin subse...
AbstractWe show that there is a perfectly normal non-metrizable manifold if there is a Luzin subset ...
By a manifold we mean a Hausdorff locally Euclidean space. The purpose of this paper is to prove: TH...
Wilder [6] and Alexandroff [1] have asked whether every perfectly normal manifold is metrizable. Man...
AbstractWe construct two manifolds. The first construction uses a van Douwen line technique with no ...
AbstractA manifold is a connected Hausdorff space in which every point has a neighborhood homeomorph...
Manifolds fall naturally into two classes depending on whether they can be fitted with a distance me...
AbstractReed and Zenor have shown that locally connected, locally compact, normal Moore spaces are m...
In 1948, M. Katetov showed [2] that if P is a compact space such that P x P x P is completely normal...
Abstract. In this paper we prove that in various models of Martin's Axiom there are perfectly n...
The existence of a normal manifold with a countable point separating open cover which is not metriza...
We seek conditions implying that (βX\X)\{y} is not normal. Our main theorem: Assume GCH and all unif...
AbstractVarious topological results are examined in models of Zermelo-Fraenkel set theory that do no...
In answer to a question originally raised by Alexandroff in [A], Rudin and Zenor, using the continuu...
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
Abstract. We show that there is a perfectly normal non-metrizable manifold if there is a Luzin subse...
AbstractWe show that there is a perfectly normal non-metrizable manifold if there is a Luzin subset ...
By a manifold we mean a Hausdorff locally Euclidean space. The purpose of this paper is to prove: TH...
Wilder [6] and Alexandroff [1] have asked whether every perfectly normal manifold is metrizable. Man...
AbstractWe construct two manifolds. The first construction uses a van Douwen line technique with no ...
AbstractA manifold is a connected Hausdorff space in which every point has a neighborhood homeomorph...
Manifolds fall naturally into two classes depending on whether they can be fitted with a distance me...
AbstractReed and Zenor have shown that locally connected, locally compact, normal Moore spaces are m...
In 1948, M. Katetov showed [2] that if P is a compact space such that P x P x P is completely normal...
Abstract. In this paper we prove that in various models of Martin's Axiom there are perfectly n...
The existence of a normal manifold with a countable point separating open cover which is not metriza...
We seek conditions implying that (βX\X)\{y} is not normal. Our main theorem: Assume GCH and all unif...
AbstractVarious topological results are examined in models of Zermelo-Fraenkel set theory that do no...
In answer to a question originally raised by Alexandroff in [A], Rudin and Zenor, using the continuu...
AbstractIt is well-known that Z is a perfectly normal space (normal P-space) if and only if X×Z is p...
DOI
Add to ORKG