×

Tomita, Artur Hideyuki

Author ID: tomita.artur-hideyuki Recent zbMATH articles by "Tomita, Artur Hideyuki"
Published as: Tomita, A. H.; Tomita, Artur Hideyuki; Tomita, Artur H.; Hideyuki Tomita, Artur; Tomita, Artur; Tomita, A.
Homepage: https://www.ime.usp.br/~tomita/
External Links: MGP · ORCID · Google Scholar

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 391 times in 124 Documents Cited by Year
Countably compact groups from a selective ultrafilter. Zbl 1062.54037
Garcia-Ferreira, S.; Tomita, A. H.; Watson, S.
26
2005
Forcing countably compact group topologies on a larger free Abelian group. Zbl 1027.54057
Koszmider, Piotr B.; Tomita, Artur H.; Watson, S.
23
2000
On topological groups admitting a base at the identity indexed by \(\omega ^{\omega}\). Zbl 1382.22002
Leiderman, Arkady G.; Pestov, Vladimir G.; Tomita, Artur H.
17
2017
Countably compact topological group topologies on free Abelian groups from selective ultrafilters. Zbl 1116.54004
Madariaga-Garcia, Roberto E.; Tomita, Artur Hideyuki
17
2007
A solution to Comfort’s question on the countable compactness of powers of a topological group. Zbl 1084.54003
Tomita, Artur Hideyuki
16
2005
The Wallace problem: A counterexample from MA\(_{\text{COUNTABLE}}\) and \(p\)-compactness. Zbl 0873.22002
Tomita, Artur H.
16
1996
A pseudocompact group which is not strongly pseudocompact. Zbl 1330.54045
Garcia-Ferreira, S.; Tomita, A. H.
15
2015
A group under \(\text{MA}_{\text{countable}}\) whose square is countably compact but whose cube is not. Zbl 0927.54039
Tomita, Artur Hideyuki
15
1999
The existence of initially \(\omega _1\)-compact group topologies on free Abelian groups is independent of ZFC. Zbl 0938.54034
Hideyuki Tomita, Artur
14
1998
Two countably compact topological groups: One of size \(\aleph_\omega\) and the other of weight \(\aleph_\omega\) without non-trivial convergent sequences. Zbl 1026.54040
Tomita, Artur Hideyuki
14
2003
Ultraproducts, \(p\)-limits and antichains on the Comfort group order. Zbl 1071.54004
Tomita, A. H.; Watson, S.
13
2004
On finite powers of countably compact groups. Zbl 0881.54022
Tomita, A. H.
13
1996
HFD groups in the Solovay model. Zbl 1173.54016
Szeptycki, Paul J.; Tomita, Artur H.
12
2009
Extreme selections for hyperspaces of topological spaces. Zbl 1034.54007
García-Ferreira, S.; Gutev, V.; Nogura, T.; Sanchis, M.; Tomita, A.
11
2002
Countable compactness and finite powers of topological groups without convergent sequences. Zbl 1071.54020
Tomita, A. H.
10
2005
A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences. Zbl 1418.54018
Tomita, Artur Hideyuki
9
2019
A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact. Zbl 1334.54054
Tomita, Artur Hideyuki
7
2015
Countable compactness of hyperspaces and Ginsburg’s questions. Zbl 1054.54017
Cao, Jiling; Nogura, Tsugunori; Tomita, A. H.
7
2004
Abelian torsion groups with a countably compact group topology. Zbl 1184.54034
Castro-Pereira, Irene; Tomita, Artur Hideyuki
7
2010
Countably compact group topologies on the free abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter. Zbl 1449.54043
Boero, A. C.; Pereira, I. C.; Tomita, A. H.
7
2019
Finite powers of selectively pseudocompact groups. Zbl 1404.54024
Garcia-Ferreira, S.; Tomita, A. H.
6
2018
Topologies generated by weak selection topologies. Zbl 1287.54003
García-Ferreira, S.; Miyazaki, K.; Nogura, T.; Tomita, A. H.
6
2013
A group topology on the free Abelian group of cardinality \(\mathfrak c\) that makes its square countably compact. Zbl 1234.54045
Boero, Ana Carolina; Tomita, Artur Hideyuki
6
2011
Cellularity in subgroups of paratopological groups. Zbl 1321.22007
Tkachenko, Mikhail G.; Tomita, Artur H.
5
2015
The weight of a countably compact group whose cardinality has countable cofinality. Zbl 1068.54040
Tomita, Artur Hideyuki
5
2005
The Wijsman hyperspace of a metric hereditarily Baire space is Baire. Zbl 1186.54029
Cao, Jiling; Tomita, A. H.
5
2010
Square of countably compact groups without non-trivial convergent sequences. Zbl 1083.54024
Tomita, Artur Hideyuki
5
2005
Selections generating new topologies. Zbl 1133.54005
Gutev, Valentin; Tomita, Artur
5
2007
A non-normal topology generated by a two-point selection. Zbl 1144.54006
Garcia-Ferreira, S.; Tomita, A. H.
5
2008
Pseudocompact group topologies with prescribed topological subspaces. Zbl 1182.22001
Galindo, J.; Garcia-Ferreira, S.; Tomita, A. H.
5
2009
Extraresolvable spaces. Zbl 0941.54003
Garcia-Ferreira, S.; Malykhin, V. I.; Tomita, A. H.
4
2000
A countably compact free Abelian group whose size has countable cofinality. Zbl 1072.54028
Pereira, I. Castro; Tomita, A. H.
4
2004
Countably compact groups and \(p\)-limits. Zbl 1050.54024
Garcia-Ferreira, S.; Tomita, A. H.
4
2003
Selections on \(\Psi \)-spaces. Zbl 1090.54506
Hrušák, M.; Szeptycki, P. J.; Tomita, A. H.
4
2001
A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence. Zbl 1244.54075
Boero, A. C.; Garcia-Ferreira, S.; Tomita, A. H.
4
2012
A countably compact group topology on abelian almost torsion-free groups from selective ultrafilters. Zbl 1275.54023
Boero, Ana Carolina; Tomita, Artur Hideyuki
4
2013
Pseudocompact dense subgroups without non-trivial convergent sequences of some compact groups. Zbl 1137.22001
Garcia-Ferreira, S.; Tomita, A. H.
4
2007
Baire spaces, Tychonoff powers and the Vietoris topology. Zbl 1124.54014
Cao, Jiling; Tomita, A. H.
4
2007
Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences. Zbl 1427.54040
Bellini, Matheus Koveroff; Boero, Ana Carolina; Castro-Pereira, Irene; Rodrigues, Vinicius de Oliveira; Tomita, Artur Hideyuki
4
2019
Bornologies, topological games and function spaces. Zbl 1329.54019
Cao, Jiling; Tomita, Artur H.
3
2015
Suitable sets in products of topological groups and in groups equipped with the Bohr topology. Zbl 0913.22003
Tomita, Artur H.; Trigos-Arrieta, F. Javier
3
1998
A group topology on the real line that makes its square countably compact but not its cube. Zbl 1330.54044
Boero, Ana Carolina; Castro Pereira, Irene; Tomita, Artur Hideyuki
2
2015
Countable compactness of powers of HFD groups. Zbl 1310.54024
Szeptycki, Paul J.; Tomita, Artur H.
2
2014
On the number of countably compact group topologies on a free Abelian group. Zbl 0983.54039
Tomita, Artur Hideyuki
2
1999
Topological games and product spaces. Zbl 1090.54005
García-Ferreira, S.; Gonzáles-Silva, R. A.; Tomita, A. H.
2
2002
Almost \(p\)-compact groups. Zbl 1244.54025
Sanchis, Manuel; Tomita, Artur Hideyuki
2
2012
On countably compact group topologies without non-trivial convergent sequences on \(\mathbb{Q}^{(\kappa)}\) for arbitrarily large \(\kappa\) and a selective ultrafilter. Zbl 1462.54032
Bellini, Matheus Koveroff; de Oliveira Rodrigues, Vinicius; Tomita, Artur Hideyuki
2
2021
Small cardinals and the pseudocompactness of hyperspaces of subspaces of \(\beta\omega\). Zbl 1411.54006
Ortiz-Castillo, Y. F.; Rodrigues, V. O.; Tomita, A. H.
2
2018
Selectively pseudocompact groups and \(p\)-compactness. Zbl 1471.54021
Garcia-Ferreira, S.; Tomita, A. H.
2
2020
Some pseudocompact-like properties in certain topological groups. Zbl 1496.54020
Tomita, Artur Hideyuki; Trianon-Fraga, Juliane
2
2022
Small MAD families whose Isbell-Mmrówka space has pseudocompact hyperspace. Zbl 1429.54020
Rodrigues, Vinicius De Oliveira; Tomita, Artur Hideyuki
2
2019
Pseudocompactness and resolvability. Zbl 1409.54009
Ortiz-Castillo, Y. F.; Tomita, A. H.
1
2018
The extraresolvability of some function spaces. Zbl 0927.54004
Alas, O. T.; Garcia-Ferreira, S.; Tomita, A. H.
1
1999
Extraresolvability and cardinal arithmetic. Zbl 0976.54004
Alas, O. T.; Garcia-Ferreira, S.; Tomita, A. H.
1
1999
On the square of Wallace semigroups and topological free Abelian groups. Zbl 0918.54037
Tomita, A. H.
1
1997
Maximal almost disjoint families and pseudocompactness of hyperspaces. Zbl 1484.54022
Guzmán, O.; Hrušák, M.; Rodrigues, V. O.; Todorčević, S.; Tomita, A. H.
1
2022
Forcing a classification of non-torsion abelian groups of size at most \(2^{\mathfrak{c}}\) with non-trivial convergent sequences. Zbl 1481.54029
Bellini, Matheus Koveroff; Rodrigues, Vinicius de Oliveira; Tomita, Artur Hideyuki
1
2021
Algebraic structure of countably compact non-torsion abelian groups of size continuum from selective ultrafilters. Zbl 1469.54026
Bellini, Matheus Koveroff; Boero, Ana Carolina; de Oliveira Rodrigues, Vinicius; Tomita, Artur Hideyuki
1
2021
Some pseudocompact-like properties in certain topological groups. Zbl 1496.54020
Tomita, Artur Hideyuki; Trianon-Fraga, Juliane
2
2022
Maximal almost disjoint families and pseudocompactness of hyperspaces. Zbl 1484.54022
Guzmán, O.; Hrušák, M.; Rodrigues, V. O.; Todorčević, S.; Tomita, A. H.
1
2022
On countably compact group topologies without non-trivial convergent sequences on \(\mathbb{Q}^{(\kappa)}\) for arbitrarily large \(\kappa\) and a selective ultrafilter. Zbl 1462.54032
Bellini, Matheus Koveroff; de Oliveira Rodrigues, Vinicius; Tomita, Artur Hideyuki
2
2021
Forcing a classification of non-torsion abelian groups of size at most \(2^{\mathfrak{c}}\) with non-trivial convergent sequences. Zbl 1481.54029
Bellini, Matheus Koveroff; Rodrigues, Vinicius de Oliveira; Tomita, Artur Hideyuki
1
2021
Algebraic structure of countably compact non-torsion abelian groups of size continuum from selective ultrafilters. Zbl 1469.54026
Bellini, Matheus Koveroff; Boero, Ana Carolina; de Oliveira Rodrigues, Vinicius; Tomita, Artur Hideyuki
1
2021
Selectively pseudocompact groups and \(p\)-compactness. Zbl 1471.54021
Garcia-Ferreira, S.; Tomita, A. H.
2
2020
A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences. Zbl 1418.54018
Tomita, Artur Hideyuki
9
2019
Countably compact group topologies on the free abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter. Zbl 1449.54043
Boero, A. C.; Pereira, I. C.; Tomita, A. H.
7
2019
Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences. Zbl 1427.54040
Bellini, Matheus Koveroff; Boero, Ana Carolina; Castro-Pereira, Irene; Rodrigues, Vinicius de Oliveira; Tomita, Artur Hideyuki
4
2019
Small MAD families whose Isbell-Mmrówka space has pseudocompact hyperspace. Zbl 1429.54020
Rodrigues, Vinicius De Oliveira; Tomita, Artur Hideyuki
2
2019
Finite powers of selectively pseudocompact groups. Zbl 1404.54024
Garcia-Ferreira, S.; Tomita, A. H.
6
2018
Small cardinals and the pseudocompactness of hyperspaces of subspaces of \(\beta\omega\). Zbl 1411.54006
Ortiz-Castillo, Y. F.; Rodrigues, V. O.; Tomita, A. H.
2
2018
Pseudocompactness and resolvability. Zbl 1409.54009
Ortiz-Castillo, Y. F.; Tomita, A. H.
1
2018
On topological groups admitting a base at the identity indexed by \(\omega ^{\omega}\). Zbl 1382.22002
Leiderman, Arkady G.; Pestov, Vladimir G.; Tomita, Artur H.
17
2017
A pseudocompact group which is not strongly pseudocompact. Zbl 1330.54045
Garcia-Ferreira, S.; Tomita, A. H.
15
2015
A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact. Zbl 1334.54054
Tomita, Artur Hideyuki
7
2015
Cellularity in subgroups of paratopological groups. Zbl 1321.22007
Tkachenko, Mikhail G.; Tomita, Artur H.
5
2015
Bornologies, topological games and function spaces. Zbl 1329.54019
Cao, Jiling; Tomita, Artur H.
3
2015
A group topology on the real line that makes its square countably compact but not its cube. Zbl 1330.54044
Boero, Ana Carolina; Castro Pereira, Irene; Tomita, Artur Hideyuki
2
2015
Countable compactness of powers of HFD groups. Zbl 1310.54024
Szeptycki, Paul J.; Tomita, Artur H.
2
2014
Topologies generated by weak selection topologies. Zbl 1287.54003
García-Ferreira, S.; Miyazaki, K.; Nogura, T.; Tomita, A. H.
6
2013
A countably compact group topology on abelian almost torsion-free groups from selective ultrafilters. Zbl 1275.54023
Boero, Ana Carolina; Tomita, Artur Hideyuki
4
2013
A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence. Zbl 1244.54075
Boero, A. C.; Garcia-Ferreira, S.; Tomita, A. H.
4
2012
Almost \(p\)-compact groups. Zbl 1244.54025
Sanchis, Manuel; Tomita, Artur Hideyuki
2
2012
A group topology on the free Abelian group of cardinality \(\mathfrak c\) that makes its square countably compact. Zbl 1234.54045
Boero, Ana Carolina; Tomita, Artur Hideyuki
6
2011
Abelian torsion groups with a countably compact group topology. Zbl 1184.54034
Castro-Pereira, Irene; Tomita, Artur Hideyuki
7
2010
The Wijsman hyperspace of a metric hereditarily Baire space is Baire. Zbl 1186.54029
Cao, Jiling; Tomita, A. H.
5
2010
HFD groups in the Solovay model. Zbl 1173.54016
Szeptycki, Paul J.; Tomita, Artur H.
12
2009
Pseudocompact group topologies with prescribed topological subspaces. Zbl 1182.22001
Galindo, J.; Garcia-Ferreira, S.; Tomita, A. H.
5
2009
A non-normal topology generated by a two-point selection. Zbl 1144.54006
Garcia-Ferreira, S.; Tomita, A. H.
5
2008
Countably compact topological group topologies on free Abelian groups from selective ultrafilters. Zbl 1116.54004
Madariaga-Garcia, Roberto E.; Tomita, Artur Hideyuki
17
2007
Selections generating new topologies. Zbl 1133.54005
Gutev, Valentin; Tomita, Artur
5
2007
Pseudocompact dense subgroups without non-trivial convergent sequences of some compact groups. Zbl 1137.22001
Garcia-Ferreira, S.; Tomita, A. H.
4
2007
Baire spaces, Tychonoff powers and the Vietoris topology. Zbl 1124.54014
Cao, Jiling; Tomita, A. H.
4
2007
Countably compact groups from a selective ultrafilter. Zbl 1062.54037
Garcia-Ferreira, S.; Tomita, A. H.; Watson, S.
26
2005
A solution to Comfort’s question on the countable compactness of powers of a topological group. Zbl 1084.54003
Tomita, Artur Hideyuki
16
2005
Countable compactness and finite powers of topological groups without convergent sequences. Zbl 1071.54020
Tomita, A. H.
10
2005
The weight of a countably compact group whose cardinality has countable cofinality. Zbl 1068.54040
Tomita, Artur Hideyuki
5
2005
Square of countably compact groups without non-trivial convergent sequences. Zbl 1083.54024
Tomita, Artur Hideyuki
5
2005
Ultraproducts, \(p\)-limits and antichains on the Comfort group order. Zbl 1071.54004
Tomita, A. H.; Watson, S.
13
2004
Countable compactness of hyperspaces and Ginsburg’s questions. Zbl 1054.54017
Cao, Jiling; Nogura, Tsugunori; Tomita, A. H.
7
2004
A countably compact free Abelian group whose size has countable cofinality. Zbl 1072.54028
Pereira, I. Castro; Tomita, A. H.
4
2004
Two countably compact topological groups: One of size \(\aleph_\omega\) and the other of weight \(\aleph_\omega\) without non-trivial convergent sequences. Zbl 1026.54040
Tomita, Artur Hideyuki
14
2003
Countably compact groups and \(p\)-limits. Zbl 1050.54024
Garcia-Ferreira, S.; Tomita, A. H.
4
2003
Extreme selections for hyperspaces of topological spaces. Zbl 1034.54007
García-Ferreira, S.; Gutev, V.; Nogura, T.; Sanchis, M.; Tomita, A.
11
2002
Topological games and product spaces. Zbl 1090.54005
García-Ferreira, S.; Gonzáles-Silva, R. A.; Tomita, A. H.
2
2002
Selections on \(\Psi \)-spaces. Zbl 1090.54506
Hrušák, M.; Szeptycki, P. J.; Tomita, A. H.
4
2001
Forcing countably compact group topologies on a larger free Abelian group. Zbl 1027.54057
Koszmider, Piotr B.; Tomita, Artur H.; Watson, S.
23
2000
Extraresolvable spaces. Zbl 0941.54003
Garcia-Ferreira, S.; Malykhin, V. I.; Tomita, A. H.
4
2000
A group under \(\text{MA}_{\text{countable}}\) whose square is countably compact but whose cube is not. Zbl 0927.54039
Tomita, Artur Hideyuki
15
1999
On the number of countably compact group topologies on a free Abelian group. Zbl 0983.54039
Tomita, Artur Hideyuki
2
1999
The extraresolvability of some function spaces. Zbl 0927.54004
Alas, O. T.; Garcia-Ferreira, S.; Tomita, A. H.
1
1999
Extraresolvability and cardinal arithmetic. Zbl 0976.54004
Alas, O. T.; Garcia-Ferreira, S.; Tomita, A. H.
1
1999
The existence of initially \(\omega _1\)-compact group topologies on free Abelian groups is independent of ZFC. Zbl 0938.54034
Hideyuki Tomita, Artur
14
1998
Suitable sets in products of topological groups and in groups equipped with the Bohr topology. Zbl 0913.22003
Tomita, Artur H.; Trigos-Arrieta, F. Javier
3
1998
On the square of Wallace semigroups and topological free Abelian groups. Zbl 0918.54037
Tomita, A. H.
1
1997
The Wallace problem: A counterexample from MA\(_{\text{COUNTABLE}}\) and \(p\)-compactness. Zbl 0873.22002
Tomita, Artur H.
16
1996
On finite powers of countably compact groups. Zbl 0881.54022
Tomita, A. H.
13
1996
all top 5

Cited by 107 Authors

30 Tomita, Artur Hideyuki
14 García-Ferreira, Salvador
10 Gutev, Valentin Goutev
9 Rodrigues, Vinicius De Oliveira
8 Shakhmatov, Dmitri B.
8 Tkachenko, Mikhail Gelievich
7 Dikranjan, Dikran N.
6 Hrušák, Michael
6 Nogura, Tsugunori
5 Banakh, Taras Onufrievich
5 Bellini, Matheus Koveroff
5 Cao, Jiling
5 Ravsky, Alex
4 Boero, Ana Carolina
4 Dorantes-Aldama, Alejandro
4 Lin, Shou
4 Ortiz-Castillo, Yasser Ferman
3 Castro-Pereira, Irene
3 Feng, Ziqin
3 Gutik, Oleg Volodymyrovych
3 Ling, Xuewei
3 Martínez-Cadena, Juan Alberto
3 Tamariz-Mascarúa, Angel
2 Bao, Meng
2 Bardyla, Serhii
2 Galindo, Jorge
2 Hernández-Hernández, Fernando
2 Hernández, Salvador
2 Junnila, Heikki J. K.
2 Lin, Fucai
2 Martínez-Ruiz, Iván
2 Miyazaki, Kazumi
2 Motooka, Koichi
2 Pearl, Elliott
2 Ramos-García, Ulises Ariet
2 Sanchis, Manuel
2 Trianon-Fraga, Juliane
2 Trigos-Arrieta, F. Javier
2 Watson, William Stephen
2 Xu, Xiaoquan
2 Yamauchi, Takamitsu
2 Yañez, Víctor Hugo
2 Zhao, Bin
2 Zsilinszky, László
1 Artico, Giuliano
1 Beer, Gerald Alan
1 Błaszczyk, Aleksander
1 Boschi, Elena
1 Cai, Zhangyong Cai
1 Comfort, William Wistar
1 Corral, César
1 Dimitrova, Svetlana D.
1 Dow, Alan S.
1 Eshed, Aviv
1 Fernandez Villanueva, Manuel
1 Gabriyelyan, Saak S.
1 Gartside, Paul M.
1 Glasner, Eli
1 González-Silva, Ricardo Armando
1 Gruenhage, Gary Fred
1 Gupta, Ankit
1 Guran, Igor I.
1 Guzmán González, Osvaldo
1 Hart, Klaas Pieter
1 He, Wei
1 Hernández Arzusa, Julio Cesar
1 Hu, Wanjun
1 Huang, Yanhui
1 Jiang, Nan
1 Juhász, István
1 Kąkol, Jerzy
1 Krupski, Mikołaj
1 Leiderman, Arkady G.
1 Lindner, Sebastian
1 Lipin, Anton Evgen’evich
1 Liu, Xin
1 Macario, Sergio
1 Madariaga-Garcia, Roberto E.
1 Marconi, Umberto
1 Megrelishvili, Michael G.
1 Nukala, Naga Chandra Padmini
1 Pajoohesh, Homeira
1 Pelant, Jan
1 Piątkiewicz, Leszek
1 Remus, Dieter
1 Repovš, Dušan D.
1 Rojas-Hernández, Reynaldo
1 Sarma, Ratna Dev
1 Shelah, Saharon
1 Shen, Rongxin
1 Shi, Tingting
1 Shibakov, Alexander Y.
1 Szeptycki, Paul J.
1 Szewczak, Piotr
1 Tang, Zhongbao
1 Todorcevic, Stevo B.
1 Tsaban, Boaz
1 Valencia-Gómez, David
1 van Mill, Jan
1 Vaughan, Jerry E.
...and 7 more Authors

Citations by Year