Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Tachtsis, Eleftherios"'
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
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
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 remainders are given in $\mathbf{ZF}$. Among other independence result
Externí odkaz:
http://arxiv.org/abs/2009.09526
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 $\mathbf{ZF}$, some are shown to be independent of $\mathbf{ZF}$. For i
Externí odkaz:
http://arxiv.org/abs/2008.01233
Publikováno v:
In Annals of Pure and Applied Logic July 2023 174(7)
Autor:
Howard, Paul1 (AUTHOR) phoward@emich.edu, Tachtsis, Eleftherios2 (AUTHOR)
Publikováno v:
Archive for Mathematical Logic. Nov2023, Vol. 62 Issue 7/8, p1131-1157. 27p.
Autor:
Di Nasso, Mauro, Tachtsis, Eleftherios
We introduce the notion of additive filter and present a new proof of the existence of idempotent ultrafilters on N without any use of Zorn's Lemma, and where one only assumes the Ultrafilter Theorem for the continuum.
Externí odkaz:
http://arxiv.org/abs/1701.03301
Autor:
Tachtsis, Eleftherios
Publikováno v:
In Topology and its Applications 15 February 2022 307
Autor:
Keremedis, Kyriakos1 (AUTHOR), Tachtsis, Eleftherios2 (AUTHOR) ltah@aegean.gr
Publikováno v:
Mathematical Logic Quarterly. Aug2023, Vol. 69 Issue 3, p347-369. 23p.
Publikováno v:
In Topology and its Applications 1 July 2021 298