Zobrazeno 1 - 10 of 66 pro vyhledávání: '"Eleftherios Tachtsis"'
2
On Iso-dense and Scattered Spaces without $$\textbf{AC}$$
Autor: Kyriakos Keremedis, Eleftherios Tachtsis, Eliza Wajch
Publikováno v: Results in Mathematics. 78
A topological space is iso-dense if it has a dense set of isolated points, and it is scattered if each of its non-empty subspaces has an isolated point. In $$\textbf{ZF}$$ ZF (i.e. Zermelo–Fraenkel set theory without the Axiom of Choice ($$\textbf{
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2f1b0b23495b570716d66d0d0acc5eff
https://doi.org/10.1007/s00025-023-01926-2
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5
ALMOST DISJOINT AND MAD FAMILIES IN VECTOR SPACES AND CHOICE PRINCIPLES
Autor: Eleftherios Tachtsis
Publikováno v: The Journal of Symbolic Logic. 87:1093-1110
In set theory without the Axiom of Choice ( $\mathsf {AC}$ ), we investigate the open problem of the deductive strength of statements which concern the existence of almost disjoint and maximal almost disjoint (MAD) families of infinite-dimensional su
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::18318029a72fb7931d36e821b233e0c3
https://doi.org/10.1017/jsl.2021.91
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9
Juhász’s topological generalization of Neumer’s theorem may fail in 𝖹𝖥
Autor: Eleftherios Tachtsis
Publikováno v: Proceedings of the American Mathematical Society. 148:1295-1310
In set theory without the Axiom of Choice ( A C \mathsf {AC} ), we investigate the open problem of the deductive strength of Juhász’s topological generalization of Neumer’s Theorem from his paper On Neumer’s Theorem [Proc. Amer. Math. Soc. 54
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ad5905249e5c64e33920916a1da8fd9f
https://doi.org/10.1090/proc/14794
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