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Tachtsis, Eleftherios

Author ID: tachtsis.eleftherios Recent zbMATH articles by "Tachtsis, Eleftherios"
Published as: Tachtsis, Eleftherios; Tachtsis, E.; Tatchtsis, Eleftherios
Homepage: http://www.samos.aegean.gr/actuar/ltah/index_eng.html
External Links: MGP
Documents Indexed: 88 Publications since 1999
Reviewing Activity: 34 Reviews
Co-Authors: 13 Co-Authors with 56 Joint Publications
186 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

69 Publications have been cited 287 times in 100 Documents Cited by Year
Compact metric spaces and weak forms of the axiom of choice. Zbl 0968.03057
Keremedis, Kyriakos; Tachtsis, Eleftherios
17
2001
On Loeb and weakly Loeb Hausdorff spaces. Zbl 0982.54001
Keremedis, Kyriakos; Tachtsis, Eleftherios
16
2001
Non-constructive properties of the real numbers. Zbl 0986.03037
Howard, Paul; Keremedis, Kyriakos; Rubin, Jean E.; Stanley, Adrienne; Tatchtsis, Eleftherios
14
2001
On Ramsey’s theorem and the existence of infinite chains or infinite anti-chains in infinite posets. Zbl 1342.03036
Tachtsis, Eleftherios
11
2016
On metrizability and compactness of certain products without the axiom of choice. Zbl 1473.03029
Howard, Paul; Tachtsis, Eleftherios
9
2021
The existence of free ultrafilters on \(\omega \) does not imply the extension of filters on \(\omega \) to ultrafilters. Zbl 1386.03063
Hall, Eric J.; Keremedis, Kyriakos; Tachtsis, Eleftherios
9
2013
Countable sums and products of metrizable spaces in ZF. Zbl 1059.03048
Keremedis, Kyriakos; Tachtsis, Eleftherios
8
2005
Disasters in metric topology without choice. Zbl 1072.03030
Tachtsis, Eleftherios
8
2002
On the existence of free ultrafilters on \(\omega \) and on Russell-sets in ZF. Zbl 1325.03060
Tachtsis, Eleftherios
8
2015
On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements. Zbl 1377.03036
Howard, Paul; Saveliev, Denis I.; Tachtsis, Eleftherios
8
2016
Cellularity of infinite Hausdorff spaces in ZF. Zbl 1484.03103
Keremedis, Kyriakos; Tachtsis, Eleftherios
8
2020
On the number of Russell’s socks or \(2+2+2+\dots=?\). Zbl 1150.03017
Herrlich, Horst; Tachtsis, Eleftherios
7
2006
Several results on compact metrizable spaces in \(\mathbf{ZF} \). Zbl 1486.03081
Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza
7
2021
Remarks on the Stone spaces of the integers and the reals without AC. Zbl 1242.03072
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
6
2011
Countable compact Hausdorff spaces need not be metrizable in ZF. Zbl 1115.03067
Keremedis, Kyriakos; Tachtsis, Eleftherios
6
2007
Countable compact scattered \(T_2\) spaces and weak forms of AC. Zbl 1115.03066
Keremedis, Kyriakos; Felouzis, Evangelos; Tachtsis, Eleftherios
6
2006
On vector spaces over specific fields without choice. Zbl 1278.03082
Howard, Paul; Tachtsis, Eleftherios
6
2013
On the existence of permutations of infinite sets without fixed points in set theory without choice. Zbl 1438.03016
Tachtsis, E.
6
2019
Infinite Hausdorff spaces may lack cellular families or discrete subsets of cardinality \(\aleph_0\). Zbl 1443.03027
Tachtsis, Eleftherios
6
2020
On the minimal cover property and certain notions of finite. Zbl 1446.03083
Tachtsis, Eleftherios
6
2018
Some weak forms of the axiom of choice restricted to the real line. Zbl 1001.03044
Keremedis, Kyriakos; Tachtsis, Eleftherios
5
2001
On Martin’s axiom and forms of choice. Zbl 1362.03047
Tachtsis, Eleftherios
5
2016
On the set-theoretic strength of countable compactness of the Tychonoff product \(2^{\mathbb{R}}\). Zbl 1242.03073
Tachtsis, Eleftherios
5
2010
Second-countable compact Hausdorff spaces as remainders in ZF and two new notions of infiniteness. Zbl 1485.03207
Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza
5
2021
Extensions of compactness of Tychonoff powers of 2 in ZF. Zbl 1194.03039
Keremedis, Kyriakos; Tachtsis, Eleftherios
4
2011
On a certain notion of finite and a finiteness class in set theory without choice. Zbl 1356.03081
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
4
2015
On Lindelöf metric spaces and weak forms of the axiom of choice. Zbl 0952.03060
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2000
Weak axioms of choice for metric spaces. Zbl 1090.03021
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2005
On sequentially compact subspaces of \(\mathbb R\) without the axiom of choice. Zbl 1071.03035
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2003
On special partitions of Dedekind- and Russell-sets. Zbl 1249.05018
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
3
2012
On the minimal cover property in \(\mathbf{ZF}\). Zbl 1305.03038
Howard, Paul; Tachtsis, Eleftherios
3
2014
Idempotent ultrafilters without Zorn’s lemma. Zbl 1427.03053
Di Nasso, Mauro; Tachtsis, Eleftherios
3
2018
No decreasing sequence of cardinals. Zbl 1339.03038
Howard, Paul; Tachtsis, Eleftherios
3
2016
On Ramsey choice and partial choice for infinite families of \(n\)-element sets. Zbl 1472.03056
Halbeisen, Lorenz; Tachtsis, Eleftherios
3
2020
Wallman compactifications and Tychonoff’s compactness theorem in ZF. Zbl 1386.03064
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2013
The cardinal inequality \(\alpha^2<2^{\alpha}\). Zbl 1274.03068
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
3
2011
Products of some special compact spaces and restricted forms of AC. Zbl 1208.03051
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2010
Some independence results about compact metrizable spaces and two notions of finiteness. Zbl 1508.03085
Tachtsis, Eleftherios
3
2022
Hindman’s theorem and choice. Zbl 1524.03040
Tachtsis, E.
3
2022
BPI is equivalent to compactness-\(n\), \(n\geq 6\), of Tychonoff powers of 2. Zbl 1273.03149
Tachtsis, Eleftherios
3
2012
The Urysohn lemma is independent of ZF + countable choice. Zbl 1484.03104
Tachtsis, Eleftherios
3
2019
On the compactness and countable compactness of \({\mathbf 2}^{\mathbb R}\) in ZF. Zbl 1134.03027
Keremedis, Kyriakos; Felouzis, Evangelos; Tachtsis, Eleftherios
2
2007
Choice principles for special subsets of the real line. Zbl 1046.03029
Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2003
On the extensibility of closed filters in \(T_1\) spaces and the existence of well orderable filter bases. Zbl 0977.03025
Keremedis, K.; Tachtsis, E.
2
1999
Topology in the absence of the axiom of choice. Zbl 1066.54002
Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2004
On super second countable and super separable metric spaces. Zbl 1169.03039
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2009
On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes. Zbl 1423.03182
Tachtsis, Eleftherios
2
2017
On the set-theoretic strength of the \(n\)-compactness of generalized Cantor cubes. Zbl 1367.03086
Howard, Paul; Tachtsis, Eleftherios
2
2016
On the set-theoretic strength of Ellis’ theorem and the existence of free idempotent ultrafilters on \(\omega\). Zbl 1475.03096
Tachtsis, Eleftherios
2
2018
Dilworth’s decomposition theorem for posets in ZF. Zbl 1449.03016
Tachtsis, E.
2
2019
On the existence of almost disjoint and MAD families without \(\mathsf{AC}\). Zbl 1477.03200
Tachtsis, Eleftherios
2
2019
Finiteness classes and small violations of choice. Zbl 1436.03255
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
2
2016
On Russell and anti Russell-cardinals. Zbl 1274.03071
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2010
Stranger things about the cardinality of compact metric spaces without AC. Zbl 1524.03038
Keremedis, K.; Tachtsis, E.
2
2022
Łoś’s theorem and the axiom of choice. Zbl 1521.03164
Tachtsis, Eleftherios
2
2019
Odd-sized partitions of Russell-sets. Zbl 1201.03040
Herrlich, Horst; Tachtsis, Eleftherios
1
2010
Properties of the real line and weak forms of the axiom of choice. Zbl 1080.03033
De la Cruz, Omar; Hall, Eric; Howard, Paul; Keremedis, Kyriakos; Tachtsis, Eleftherios
1
2005
Countable sums and products of Loeb and selective metric spaces. Zbl 1121.03063
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
1
2005
Variants of the principle of dependent choices and a topological proposition. Zbl 1342.03035
Tachtsis, Eleftherios
1
2014
On a variant of Rado’s selection lemma and its equivalence with the Boolean prime ideal theorem. Zbl 1339.03037
Howard, Paul; Tachtsis, Eleftherios
1
2014
An independence result concerning Russell-cardinals. Zbl 1160.03032
Tachtsis, Eleftherios
1
2008
On the solvability of systems of linear equations over the ring \(\mathbb{Z}\) of integers. Zbl 1463.03017
Herrlich, Horst; Tachtsis, Eleftherios
1
2017
On certain non-constructive properties of infinite-dimensional vector spaces. Zbl 1463.03019
Tachtsis, Eleftherios
1
2018
Juhász’s topological generalization of Neumer’s theorem may fail in \(\mathsf{ZF}\). Zbl 1477.03201
Tachtsis, Eleftherios
1
2020
\(\mathsf{MA} (\aleph_0)\) restricted to complete Boolean algebras and choice. Zbl 1521.03166
Tachtsis, Eleftherios
1
2021
On infinite-dimensional Banach spaces and weak forms of the axiom of choice. Zbl 1469.03137
Howard, Paul; Tachtsis, Eleftherios
1
2017
On a theorem of Kurepa for partially ordered sets and weak choice. Zbl 07603033
Tachtsis, Eleftherios
1
2022
The Boolean prime ideal theorem does not imply the extension of almost disjoint families to MAD families. Zbl 1486.03082
Tachtsis, Eleftherios
1
2020
On a topological choice principle by Murray Bell. Zbl 1275.03141
Howard, Paul; Tachtsis, Eleftherios
1
2013
Some independence results about compact metrizable spaces and two notions of finiteness. Zbl 1508.03085
Tachtsis, Eleftherios
3
2022
Hindman’s theorem and choice. Zbl 1524.03040
Tachtsis, E.
3
2022
Stranger things about the cardinality of compact metric spaces without AC. Zbl 1524.03038
Keremedis, K.; Tachtsis, E.
2
2022
On a theorem of Kurepa for partially ordered sets and weak choice. Zbl 07603033
Tachtsis, Eleftherios
1
2022
On metrizability and compactness of certain products without the axiom of choice. Zbl 1473.03029
Howard, Paul; Tachtsis, Eleftherios
9
2021
Several results on compact metrizable spaces in \(\mathbf{ZF} \). Zbl 1486.03081
Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza
7
2021
Second-countable compact Hausdorff spaces as remainders in ZF and two new notions of infiniteness. Zbl 1485.03207
Keremedis, Kyriakos; Tachtsis, Eleftherios; Wajch, Eliza
5
2021
\(\mathsf{MA} (\aleph_0)\) restricted to complete Boolean algebras and choice. Zbl 1521.03166
Tachtsis, Eleftherios
1
2021
Cellularity of infinite Hausdorff spaces in ZF. Zbl 1484.03103
Keremedis, Kyriakos; Tachtsis, Eleftherios
8
2020
Infinite Hausdorff spaces may lack cellular families or discrete subsets of cardinality \(\aleph_0\). Zbl 1443.03027
Tachtsis, Eleftherios
6
2020
On Ramsey choice and partial choice for infinite families of \(n\)-element sets. Zbl 1472.03056
Halbeisen, Lorenz; Tachtsis, Eleftherios
3
2020
Juhász’s topological generalization of Neumer’s theorem may fail in \(\mathsf{ZF}\). Zbl 1477.03201
Tachtsis, Eleftherios
1
2020
The Boolean prime ideal theorem does not imply the extension of almost disjoint families to MAD families. Zbl 1486.03082
Tachtsis, Eleftherios
1
2020
On the existence of permutations of infinite sets without fixed points in set theory without choice. Zbl 1438.03016
Tachtsis, E.
6
2019
The Urysohn lemma is independent of ZF + countable choice. Zbl 1484.03104
Tachtsis, Eleftherios
3
2019
Dilworth’s decomposition theorem for posets in ZF. Zbl 1449.03016
Tachtsis, E.
2
2019
On the existence of almost disjoint and MAD families without \(\mathsf{AC}\). Zbl 1477.03200
Tachtsis, Eleftherios
2
2019
Łoś’s theorem and the axiom of choice. Zbl 1521.03164
Tachtsis, Eleftherios
2
2019
On the minimal cover property and certain notions of finite. Zbl 1446.03083
Tachtsis, Eleftherios
6
2018
Idempotent ultrafilters without Zorn’s lemma. Zbl 1427.03053
Di Nasso, Mauro; Tachtsis, Eleftherios
3
2018
On the set-theoretic strength of Ellis’ theorem and the existence of free idempotent ultrafilters on \(\omega\). Zbl 1475.03096
Tachtsis, Eleftherios
2
2018
On certain non-constructive properties of infinite-dimensional vector spaces. Zbl 1463.03019
Tachtsis, Eleftherios
1
2018
On variants of the principle of consistent choices, the minimal cover property and the 2-compactness of generalized Cantor cubes. Zbl 1423.03182
Tachtsis, Eleftherios
2
2017
On the solvability of systems of linear equations over the ring \(\mathbb{Z}\) of integers. Zbl 1463.03017
Herrlich, Horst; Tachtsis, Eleftherios
1
2017
On infinite-dimensional Banach spaces and weak forms of the axiom of choice. Zbl 1469.03137
Howard, Paul; Tachtsis, Eleftherios
1
2017
On Ramsey’s theorem and the existence of infinite chains or infinite anti-chains in infinite posets. Zbl 1342.03036
Tachtsis, Eleftherios
11
2016
On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements. Zbl 1377.03036
Howard, Paul; Saveliev, Denis I.; Tachtsis, Eleftherios
8
2016
On Martin’s axiom and forms of choice. Zbl 1362.03047
Tachtsis, Eleftherios
5
2016
No decreasing sequence of cardinals. Zbl 1339.03038
Howard, Paul; Tachtsis, Eleftherios
3
2016
On the set-theoretic strength of the \(n\)-compactness of generalized Cantor cubes. Zbl 1367.03086
Howard, Paul; Tachtsis, Eleftherios
2
2016
Finiteness classes and small violations of choice. Zbl 1436.03255
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
2
2016
On the existence of free ultrafilters on \(\omega \) and on Russell-sets in ZF. Zbl 1325.03060
Tachtsis, Eleftherios
8
2015
On a certain notion of finite and a finiteness class in set theory without choice. Zbl 1356.03081
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
4
2015
On the minimal cover property in \(\mathbf{ZF}\). Zbl 1305.03038
Howard, Paul; Tachtsis, Eleftherios
3
2014
Variants of the principle of dependent choices and a topological proposition. Zbl 1342.03035
Tachtsis, Eleftherios
1
2014
On a variant of Rado’s selection lemma and its equivalence with the Boolean prime ideal theorem. Zbl 1339.03037
Howard, Paul; Tachtsis, Eleftherios
1
2014
The existence of free ultrafilters on \(\omega \) does not imply the extension of filters on \(\omega \) to ultrafilters. Zbl 1386.03063
Hall, Eric J.; Keremedis, Kyriakos; Tachtsis, Eleftherios
9
2013
On vector spaces over specific fields without choice. Zbl 1278.03082
Howard, Paul; Tachtsis, Eleftherios
6
2013
Wallman compactifications and Tychonoff’s compactness theorem in ZF. Zbl 1386.03064
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2013
On a topological choice principle by Murray Bell. Zbl 1275.03141
Howard, Paul; Tachtsis, Eleftherios
1
2013
On special partitions of Dedekind- and Russell-sets. Zbl 1249.05018
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
3
2012
BPI is equivalent to compactness-\(n\), \(n\geq 6\), of Tychonoff powers of 2. Zbl 1273.03149
Tachtsis, Eleftherios
3
2012
Remarks on the Stone spaces of the integers and the reals without AC. Zbl 1242.03072
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
6
2011
Extensions of compactness of Tychonoff powers of 2 in ZF. Zbl 1194.03039
Keremedis, Kyriakos; Tachtsis, Eleftherios
4
2011
The cardinal inequality \(\alpha^2<2^{\alpha}\). Zbl 1274.03068
Herrlich, Horst; Howard, Paul; Tachtsis, Eleftherios
3
2011
On the set-theoretic strength of countable compactness of the Tychonoff product \(2^{\mathbb{R}}\). Zbl 1242.03073
Tachtsis, Eleftherios
5
2010
Products of some special compact spaces and restricted forms of AC. Zbl 1208.03051
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2010
On Russell and anti Russell-cardinals. Zbl 1274.03071
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2010
Odd-sized partitions of Russell-sets. Zbl 1201.03040
Herrlich, Horst; Tachtsis, Eleftherios
1
2010
On super second countable and super separable metric spaces. Zbl 1169.03039
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2009
An independence result concerning Russell-cardinals. Zbl 1160.03032
Tachtsis, Eleftherios
1
2008
Countable compact Hausdorff spaces need not be metrizable in ZF. Zbl 1115.03067
Keremedis, Kyriakos; Tachtsis, Eleftherios
6
2007
On the compactness and countable compactness of \({\mathbf 2}^{\mathbb R}\) in ZF. Zbl 1134.03027
Keremedis, Kyriakos; Felouzis, Evangelos; Tachtsis, Eleftherios
2
2007
On the number of Russell’s socks or \(2+2+2+\dots=?\). Zbl 1150.03017
Herrlich, Horst; Tachtsis, Eleftherios
7
2006
Countable compact scattered \(T_2\) spaces and weak forms of AC. Zbl 1115.03066
Keremedis, Kyriakos; Felouzis, Evangelos; Tachtsis, Eleftherios
6
2006
Countable sums and products of metrizable spaces in ZF. Zbl 1059.03048
Keremedis, Kyriakos; Tachtsis, Eleftherios
8
2005
Weak axioms of choice for metric spaces. Zbl 1090.03021
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2005
Properties of the real line and weak forms of the axiom of choice. Zbl 1080.03033
De la Cruz, Omar; Hall, Eric; Howard, Paul; Keremedis, Kyriakos; Tachtsis, Eleftherios
1
2005
Countable sums and products of Loeb and selective metric spaces. Zbl 1121.03063
Herrlich, Horst; Keremedis, Kyriakos; Tachtsis, Eleftherios
1
2005
Topology in the absence of the axiom of choice. Zbl 1066.54002
Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2004
On sequentially compact subspaces of \(\mathbb R\) without the axiom of choice. Zbl 1071.03035
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2003
Choice principles for special subsets of the real line. Zbl 1046.03029
Keremedis, Kyriakos; Tachtsis, Eleftherios
2
2003
Disasters in metric topology without choice. Zbl 1072.03030
Tachtsis, Eleftherios
8
2002
Compact metric spaces and weak forms of the axiom of choice. Zbl 0968.03057
Keremedis, Kyriakos; Tachtsis, Eleftherios
17
2001
On Loeb and weakly Loeb Hausdorff spaces. Zbl 0982.54001
Keremedis, Kyriakos; Tachtsis, Eleftherios
16
2001
Non-constructive properties of the real numbers. Zbl 0986.03037
Howard, Paul; Keremedis, Kyriakos; Rubin, Jean E.; Stanley, Adrienne; Tatchtsis, Eleftherios
14
2001
Some weak forms of the axiom of choice restricted to the real line. Zbl 1001.03044
Keremedis, Kyriakos; Tachtsis, Eleftherios
5
2001
On Lindelöf metric spaces and weak forms of the axiom of choice. Zbl 0952.03060
Keremedis, Kyriakos; Tachtsis, Eleftherios
3
2000
On the extensibility of closed filters in \(T_1\) spaces and the existence of well orderable filter bases. Zbl 0977.03025
Keremedis, K.; Tachtsis, E.
2
1999

Citations by Year