Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza On iso-dense and scattered spaces without AC. (English) Zbl 07709605 Result. Math. 78, No. 4, Paper No. 153, 30 p. (2023). MSC: 03E25 03E35 54E35 54G12 54D35 PDFBibTeX XMLCite \textit{K. Keremedis} et al., Result. Math. 78, No. 4, Paper No. 153, 30 p. (2023; Zbl 07709605) Full Text: DOI arXiv
Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza Countable products and countable direct sums of compact metrizable spaces in the absence of the Axiom of Choice. (English) Zbl 07687150 Ann. Pure Appl. Logic 174, No. 7, Article ID 103283, 34 p. (2023). MSC: 03E25 03E35 54A35 54E35 54D30 54B10 PDFBibTeX XMLCite \textit{K. Keremedis} et al., Ann. Pure Appl. Logic 174, No. 7, Article ID 103283, 34 p. (2023; Zbl 07687150) Full Text: DOI arXiv
Keremedis, K.; Tachtsis, E. Stranger things about the cardinality of compact metric spaces without AC. (English) Zbl 1524.03038 Acta Math. Hung. 168, No. 1, 269-294 (2022). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 03E25 03E35 54A25 54D05 54D65 54E35 54E45 54G12 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Acta Math. Hung. 168, No. 1, 269--294 (2022; Zbl 1524.03038) Full Text: DOI
Hejduk, Jacek; Tachtsis, Eleftherios; Wajch, Eliza On Urysohn’s lemma for generalized topological spaces in \(\mathbf{ZF}\). (English) Zbl 1492.54005 Result. Math. 77, No. 2, Paper No. 91, 19 p. (2022). Reviewer: K. P. Hart (Delft) MSC: 54A05 54A35 54D15 03E25 03E35 PDFBibTeX XMLCite \textit{J. Hejduk} et al., Result. Math. 77, No. 2, Paper No. 91, 19 p. (2022; Zbl 1492.54005) Full Text: DOI arXiv
Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza Several results on compact metrizable spaces in \(\mathbf{ZF} \). (English) Zbl 1486.03081 Monatsh. Math. 196, No. 1, 67-102 (2021). Reviewer: Boris Šobot (Novi Sad) MSC: 03E25 03E35 54A35 54E35 54D30 PDFBibTeX XMLCite \textit{K. Keremedis} et al., Monatsh. Math. 196, No. 1, 67--102 (2021; Zbl 1486.03081) Full Text: DOI arXiv
Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza Second-countable compact Hausdorff spaces as remainders in ZF and two new notions of infiniteness. (English) Zbl 1485.03207 Topology Appl. 298, Article ID 107732, 29 p. (2021). Reviewer: Boris Šobot (Novi Sad) MSC: 03E25 03E35 54A35 54D35 54D40 54D45 54E35 PDFBibTeX XMLCite \textit{K. Keremedis} et al., Topology Appl. 298, Article ID 107732, 29 p. (2021; Zbl 1485.03207) Full Text: DOI arXiv
Howard, Paul; Tachtsis, Eleftherios On metrizability and compactness of certain products without the axiom of choice. (English) Zbl 1473.03029 Topology Appl. 290, Article ID 107591, 15 p. (2021). Reviewer: Boris Šobot (Novi Sad) MSC: 03E25 03E35 54B10 54D30 54E35 PDFBibTeX XMLCite \textit{P. Howard} and \textit{E. Tachtsis}, Topology Appl. 290, Article ID 107591, 15 p. (2021; Zbl 1473.03029) Full Text: DOI
Howard, Paul; Tachtsis, Eleftherios On the set-theoretic strength of a topological Banach fixed point theorem for continua. (English) Zbl 1481.03050 Topol. Proc. 55, 295-313 (2020). MSC: 03E25 03E35 54D05 54D30 54H25 PDFBibTeX XMLCite \textit{P. Howard} and \textit{E. Tachtsis}, Topol. Proc. 55, 295--313 (2020; Zbl 1481.03050)
Tachtsis, Eleftherios Infinite Hausdorff spaces may lack cellular families or discrete subsets of cardinality \(\aleph_0\). (English) Zbl 1443.03027 Topology Appl. 275, Article ID 106997, 19 p. (2020). Reviewer: Vinicius Rodrigues (São Paulo) MSC: 03E25 03E35 54A25 54A35 54D10 54D30 54G12 PDFBibTeX XMLCite \textit{E. Tachtsis}, Topology Appl. 275, Article ID 106997, 19 p. (2020; Zbl 1443.03027) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios Cellularity of infinite Hausdorff spaces in ZF. (English) Zbl 1484.03103 Topology Appl. 274, Article ID 107104, 20 p. (2020). MSC: 03E25 03E35 54A25 54D10 54D30 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Topology Appl. 274, Article ID 107104, 20 p. (2020; Zbl 1484.03103) Full Text: DOI
Tachtsis, Eleftherios The Urysohn lemma is independent of ZF + countable choice. (English) Zbl 1484.03104 Proc. Am. Math. Soc. 147, No. 9, 4029-4038 (2019). MSC: 03E25 03E35 54D10 54D15 PDFBibTeX XMLCite \textit{E. Tachtsis}, Proc. Am. Math. Soc. 147, No. 9, 4029--4038 (2019; Zbl 1484.03104) Full Text: DOI
Tachtsis, Eleftherios On H-closed and minimal Hausdorff spaces and the Boolean prime ideal theorem. (English) Zbl 1454.03063 Topol. Proc. 53, 255-268 (2019). Reviewer: Samuel Gomes da Silva (Salvador) MSC: 03E25 54B10 54D10 54D30 54D35 PDFBibTeX XMLCite \textit{E. Tachtsis}, Topol. Proc. 53, 255--268 (2019; Zbl 1454.03063)
Tachtsis, Eleftherios On the minimal cover property and certain notions of finite. (English) Zbl 1446.03083 Arch. Math. Logic 57, No. 5-6, 665-686 (2018). Reviewer: Martin Weese (Potsdam) MSC: 03E25 03E35 06A05 06A06 06A07 54D30 PDFBibTeX XMLCite \textit{E. Tachtsis}, Arch. Math. Logic 57, No. 5--6, 665--686 (2018; Zbl 1446.03083) Full Text: DOI
Tachtsis, Eleftherios On the set-theoretic strength of Ellis’ theorem and the existence of free idempotent ultrafilters on \(\omega\). (English) Zbl 1475.03096 J. Symb. Log. 83, No. 2, 551-571 (2018). Reviewer: Will Brian (Waco) MSC: 03E25 03E35 54D80 PDFBibTeX XMLCite \textit{E. Tachtsis}, J. Symb. Log. 83, No. 2, 551--571 (2018; Zbl 1475.03096) Full Text: DOI
Di Nasso, Mauro; Tachtsis, Eleftherios Idempotent ultrafilters without Zorn’s lemma. (English) Zbl 1427.03053 Proc. Am. Math. Soc. 146, No. 1, 397-411 (2018). MSC: 03E25 03E05 54D80 05D10 PDFBibTeX XMLCite \textit{M. Di Nasso} and \textit{E. Tachtsis}, Proc. Am. Math. Soc. 146, No. 1, 397--411 (2018; Zbl 1427.03053) Full Text: DOI arXiv
Tachtsis, Eleftherios On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes. (English) Zbl 1423.03182 Topology Appl. 219, 122-140 (2017). MSC: 03E25 03E35 05D10 54B10 54D30 PDFBibTeX XMLCite \textit{E. Tachtsis}, Topology Appl. 219, 122--140 (2017; Zbl 1423.03182) Full Text: DOI
Howard, Paul; Tachtsis, Eleftherios On the set-theoretic strength of the \(n\)-compactness of generalized Cantor cubes. (English) Zbl 1367.03086 Fundam. Math. 234, No. 3, 241-252 (2016). Reviewer: Maximilian Ganster (Graz) MSC: 03E25 03E35 54B10 54D30 PDFBibTeX XMLCite \textit{P. Howard} and \textit{E. Tachtsis}, Fundam. Math. 234, No. 3, 241--252 (2016; Zbl 1367.03086) Full Text: DOI
Howard, Paul; Tachtsis, Eleftherios On a variant of Rado’s selection lemma and its equivalence with the Boolean prime ideal theorem. (English) Zbl 1339.03037 Arch. Math. Logic 53, No. 7-8, 825-833 (2014). MSC: 03E25 03E35 54B10 54D30 PDFBibTeX XMLCite \textit{P. Howard} and \textit{E. Tachtsis}, Arch. Math. Logic 53, No. 7--8, 825--833 (2014; Zbl 1339.03037) Full Text: DOI
Tachtsis, Eleftherios Variants of the principle of dependent choices and a topological proposition. (English) Zbl 1342.03035 Quest. Answers Gen. Topology 32, No. 1, 53-62 (2014). MSC: 03E25 03E35 06B30 54A35 54D10 PDFBibTeX XMLCite \textit{E. Tachtsis}, Quest. Answers Gen. Topology 32, No. 1, 53--62 (2014; Zbl 1342.03035)
Howard, Paul; Tachtsis, Eleftherios On the minimal cover property in \(\mathbf{ZF}\). (English) Zbl 1305.03038 Topology Appl. 173, 94-106 (2014). Reviewer: Martin Weese (Potsdam) MSC: 03E25 03E35 54B10 54D30 PDFBibTeX XMLCite \textit{P. Howard} and \textit{E. Tachtsis}, Topology Appl. 173, 94--106 (2014; Zbl 1305.03038) Full Text: DOI
Hall, Eric J.; Keremedis, Kyriakos; Tachtsis, Eleftherios The existence of free ultrafilters on \(\omega \) does not imply the extension of filters on \(\omega \) to ultrafilters. (English) Zbl 1386.03063 Math. Log. Q. 59, No. 4-5, 258-267 (2013). MSC: 03E25 03E35 54D80 54B10 54D30 PDFBibTeX XMLCite \textit{E. J. Hall} et al., Math. Log. Q. 59, No. 4--5, 258--267 (2013; Zbl 1386.03063) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios Wallman compactifications and Tychonoff’s compactness theorem in ZF. (English) Zbl 1386.03064 Topol. Proc. 42, 275-297 (2013). MSC: 03E25 03E35 54B10 54D30 54D35 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Topol. Proc. 42, 275--297 (2013; Zbl 1386.03064)
Howard, Paul; Tachtsis, Eleftherios On a topological choice principle by Murray Bell. (English) Zbl 1275.03141 Topology Appl. 160, No. 2, 309-327 (2013). Reviewer: Samuel Gomes da Silva (Salvador) MSC: 03E25 03E35 54D10 54D30 PDFBibTeX XMLCite \textit{P. Howard} and \textit{E. Tachtsis}, Topology Appl. 160, No. 2, 309--327 (2013; Zbl 1275.03141) Full Text: DOI
Tachtsis, Eleftherios BPI is equivalent to compactness-\(n\), \(n\geq 6\), of Tychonoff powers of 2. (English) Zbl 1273.03149 Topol. Proc. 40, 21-28 (2012). Reviewer: Samuel Gomes da Silva (Salvador) MSC: 03E25 03E35 05C15 05C63 54B10 54D30 PDFBibTeX XMLCite \textit{E. Tachtsis}, Topol. Proc. 40, 21--28 (2012; Zbl 1273.03149) Full Text: Link
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios Remarks on the Stone spaces of the integers and the reals without AC. (English) Zbl 1242.03072 Bull. Pol. Acad. Sci., Math. 59, No. 2, 101-114 (2011). Reviewer: Vinod Kumar (Sirsa) MSC: 03E25 06E15 54B10 54D30 54D80 PDFBibTeX XMLCite \textit{H. Herrlich} et al., Bull. Pol. Acad. Sci., Math. 59, No. 2, 101--114 (2011; Zbl 1242.03072) Full Text: DOI Link
Keremedis, Kyriakos; Tachtsis, Eleftherios Extensions of compactness of Tychonoff powers of 2 in ZF. (English) Zbl 1194.03039 Topol. Proc. 37, 15-31 (2011). Reviewer: Horst Herrlich (Bremen) MSC: 03E25 03E35 54B10 54D20 54D30 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Topol. Proc. 37, 15--31 (2011; Zbl 1194.03039)
Tachtsis, Eleftherios On the set-theoretic strength of countable compactness of the Tychonoff product \(2^{\mathbb{R}}\). (English) Zbl 1242.03073 Bull. Pol. Acad. Sci., Math. 58, No. 2, 91-107 (2010). Reviewer: Vinod Kumar (Sirsa) MSC: 03E25 28A05 54B10 54D30 54D80 PDFBibTeX XMLCite \textit{E. Tachtsis}, Bull. Pol. Acad. Sci., Math. 58, No. 2, 91--107 (2010; Zbl 1242.03073) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios Products of some special compact spaces and restricted forms of AC. (English) Zbl 1208.03051 J. Symb. Log. 75, No. 3, 996-1006 (2010). Reviewer: Horst Herrlich (Bremen) MSC: 03E25 03E35 54B10 54D30 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, J. Symb. Log. 75, No. 3, 996--1006 (2010; Zbl 1208.03051) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios Different versions of a first countable space without choice. (English) Zbl 1176.54019 Topology Appl. 156, No. 12, 2000-2004 (2009). Reviewer: Tetsuya Ishiu (Oxford, Ohio) MSC: 54D70 03E25 03E35 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Topology Appl. 156, No. 12, 2000--2004 (2009; Zbl 1176.54019) Full Text: DOI
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios On super second countable and super separable metric spaces. (English) Zbl 1169.03039 Topol. Proc. 33, 239-249 (2009). Reviewer: Horst Herrlich (Bremen) MSC: 03E25 54A35 54D65 54D70 54E35 PDFBibTeX XMLCite \textit{H. Herrlich} et al., Topol. Proc. 33, 239--249 (2009; Zbl 1169.03039)
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios Tychonoff products of super second countable and super separable metric spaces. (English) Zbl 1171.54021 Cah. Topol. Géom. Différ. Catég. 49, No. 4, 267-279 (2008). Reviewer: Kiyoshi Iseki (Osaka) MSC: 54D70 54B10 54D65 54E35 03E25 PDFBibTeX XMLCite \textit{H. Herrlich} et al., Cah. Topol. Géom. Différ. Catég. 49, No. 4, 267--279 (2008; Zbl 1171.54021) Full Text: EuDML
Keremedis, Kyriakos; Felouzis, Evangelos; Tachtsis, Eleftherios On the compactness and countable compactness of \({\mathbf 2}^{\mathbb R}\) in ZF. (English) Zbl 1134.03027 Bull. Pol. Acad. Sci., Math. 55, No. 4, 293-302 (2007). Reviewer: Horst Herrlich (Bremen) MSC: 03E25 54A35 54B10 54D20 54D30 PDFBibTeX XMLCite \textit{K. Keremedis} et al., Bull. Pol. Acad. Sci., Math. 55, No. 4, 293--302 (2007; Zbl 1134.03027) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios Countable compact Hausdorff spaces need not be metrizable in ZF. (English) Zbl 1115.03067 Proc. Am. Math. Soc. 135, No. 4, 1205-1211 (2007). Reviewer: Paul J. Szeptycki (Toronto) MSC: 03E25 03E35 54A35 54D30 54D35 54E35 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Proc. Am. Math. Soc. 135, No. 4, 1205--1211 (2007; Zbl 1115.03067) Full Text: DOI
Keremedis, Kyriakos; Felouzis, Evangelos; Tachtsis, Eleftherios Countable compact scattered \(T_2\) spaces and weak forms of AC. (English) Zbl 1115.03066 Bull. Pol. Acad. Sci., Math. 54, No. 1, 75-84 (2006). Reviewer: Paul J. Szeptycki (Toronto) MSC: 03E25 54D10 54D30 54D80 54E35 54G12 PDFBibTeX XMLCite \textit{K. Keremedis} et al., Bull. Pol. Acad. Sci., Math. 54, No. 1, 75--84 (2006; Zbl 1115.03066) Full Text: DOI
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios Countable sums and products of Loeb and selective metric spaces. (English) Zbl 1121.03063 Commentat. Math. Univ. Carol. 46, No. 2, 373-384 (2005). MSC: 03E25 54A35 54D45 54E35 PDFBibTeX XMLCite \textit{H. Herrlich} et al., Commentat. Math. Univ. Carol. 46, No. 2, 373--384 (2005; Zbl 1121.03063) Full Text: EuDML EMIS
Keremedis, Kyriakos; Tachtsis, Eleftherios Countable sums and products of metrizable spaces in ZF. (English) Zbl 1059.03048 Math. Log. Q. 51, No. 1, 95-103 (2005). Reviewer: Horst Herrlich (Bremen) MSC: 03E25 54A35 54E35 54B10 54D30 54D65 54E45 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Math. Log. Q. 51, No. 1, 95--103 (2005; Zbl 1059.03048) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios Topology in the absence of the axiom of choice. (English) Zbl 1066.54002 Sci. Math. Jpn. 59, No. 2, 357-406 (2004). Reviewer: Horst Herrlich (Bremen) MSC: 54-02 03E25 54A35 54D30 54D65 54B10 54B30 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Sci. Math. Jpn. 59, No. 2, 357--406 (2004; Zbl 1066.54002)
Keremedis, Kyriakos; Tachtsis, Eleftherios On sequentially compact subspaces of \(\mathbb R\) without the axiom of choice. (English) Zbl 1071.03035 Notre Dame J. Formal Logic 44, No. 3, 175-184 (2003). MSC: 03E25 54D30 54D55 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Notre Dame J. Formal Logic 44, No. 3, 175--184 (2003; Zbl 1071.03035) Full Text: DOI
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios Striking differences between ZF and ZF + weak choice in view of metric spaces. (English) Zbl 1028.03039 Quaest. Math. 25, No. 4, 405-420 (2002). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 03E25 54A35 54C05 54D20 54E35 PDFBibTeX XMLCite \textit{H. Herrlich} et al., Quaest. Math. 25, No. 4, 405--420 (2002; Zbl 1028.03039) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios On Loeb and weakly Loeb Hausdorff spaces. (English) Zbl 0982.54001 Sci. Math. Jpn. 53, No. 2, 247-251 (2001). Reviewer: Norbert Brunner (Wien) MSC: 54A35 03E25 54D30 54F05 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Sci. Math. Jpn. 53, No. 2, 247--251 (2001; Zbl 0982.54001)
Keremedis, Kyriakos; Tachtsis, Eleftherios Compact metric spaces and weak forms of the axiom of choice. (English) Zbl 0968.03057 Math. Log. Q. 47, No. 1, 117-128 (2001). Reviewer: Norbert Brunner (Wien) MSC: 03E25 54A35 54D65 54E35 54E45 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Math. Log. Q. 47, No. 1, 117--128 (2001; Zbl 0968.03057) Full Text: DOI
Keremedis, Kyriakos; Tachtsis, Eleftherios On Lindelöf metric spaces and weak forms of the axiom of choice. (English) Zbl 0952.03060 Math. Log. Q. 46, No. 1, 35-44 (2000). Reviewer: T.Thrivikraman (Cochin) MSC: 03E25 54D20 54A35 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Math. Log. Q. 46, No. 1, 35--44 (2000; Zbl 0952.03060) Full Text: DOI
Keremedis, K.; Tachtsis, E. On the extensibility of closed filters in \(T_1\) spaces and the existence of well orderable filter bases. (English) Zbl 0977.03025 Commentat. Math. Univ. Carol. 40, No. 2, 343-353 (1999). MSC: 03E25 54A20 54D10 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{E. Tachtsis}, Commentat. Math. Univ. Carol. 40, No. 2, 343--353 (1999; Zbl 0977.03025) Full Text: EuDML