Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Wajch, Eliza"'
Autor:
Olfati, AliReza, Wajch, Eliza
This article concerns the Herrlich-Chew theorem stating that a Hausdorff zero-dimensional space is $\mathbb{N}$-compact if and only if every clopen ultrafilter with the countable intersection property in this space is fixed. It also concerns Hewitt's
Externí odkaz:
http://arxiv.org/abs/2408.01461
Autor:
Richmond, Tom, Wajch, Eliza
A (generalized) topological space is called an iso-dense space if the set of all its isolated points is dense in the space. The main aim of the article is to show in $\mathbf{ZF}$ a new characterization of iso-dense spaces in terms of special quasior
Externí odkaz:
http://arxiv.org/abs/2404.06623
Autor:
Richmond, Tom, Wajch, Eliza
Hybrid topologies on the real line have been studied by various authors. Among the hybrid spaces, there are also Hattori spaces. However, some of the hybrid spaces are not homeomorphic to Hattori spaces. In this article, a common generalization of at
Externí odkaz:
http://arxiv.org/abs/2307.16056
Autor:
Olfati, AliReza, Wajch, Eliza
The main aim of this work is to show, in the absence of the Axiom of Choice, fundamental results on $\mathbf{E}$-compact extensions of $\mathbf{E}$-completely regular spaces, in particular, on Hewitt realcompactifications and Banaschewski compactific
Externí odkaz:
http://arxiv.org/abs/2211.00411
A $P$-space is a topological space whose every $G_{\delta}$-set is open. In this article, basic properties of $P$-spaces are investigated in the absence of the Axiom of Choice. New weaker forms of the Axiom of Choice, all relevant to $P$-spaces or to
Externí odkaz:
http://arxiv.org/abs/2111.13990
The main aim of the article is to show, in the absence of the Axiom of Choice, relationships between the following, independent of $\mathbf{ZF}$, statements: "Every countable product of compact metrizable spaces is separable (respectively, compact)"
Externí odkaz:
http://arxiv.org/abs/2109.00640
Autor:
Keremedis, Kyriakos, Wajch, Eliza
In the absence of the axiom of choice, new results concerning sequential, Fr\'echet-Urysohn, $k$-spaces, very $k$-spaces, Loeb and Cantor completely metrizable spaces are shown. New choice principles are introduced. Among many other theorems, it is p
Externí odkaz:
http://arxiv.org/abs/2108.01195
Autor:
Hejduk, Jacek, Wajch, Eliza
A strong generalized topological space is an ordered pair $\mathbf{X}=\langle X, \mathcal{T}\rangle$ such that $X$ is a set and $\mathcal{T}$ is a collection of subsets of $X$ such that $\emptyset, X\in \mathcal{T}$ and $\mathcal{T}$ is stable under
Externí odkaz:
http://arxiv.org/abs/2103.05139
A topological space is iso-dense if it has a dense set of isolated points. A topological space is scattered if each of its non-empty subspaces has an isolated point. In $\mathbf{ZF}$, in the absence of the axiom of choice, basic properties of iso-den
Externí odkaz:
http://arxiv.org/abs/2101.02825
