Found 83 Documents (Results 1–83)
On equivalence relations induced by Polish groups admitting compatible two-sided invariant metrics. arXiv:2401.15556
Preprint, arXiv:2401.15556 [math.LO] (2024).
Real-valued measurable cardinals and sequentially continuous homomorphisms. (English) Zbl 1537.22003
Reviewer: Victor Hugo Yanez (Tianjin)
A generalization of the open mapping theorem and a possible generalization of the Baire category theorem. (English) Zbl 1530.22004
Generic isomorphism classes of abelian groups. arXiv:2306.05214
Preprint, arXiv:2306.05214 [math.LO] (2023).
Definable compactness in definably complete locally o-minimal structures. arXiv:2303.01644
Preprint, arXiv:2303.01644 [math.LO] (2023).
Automatic continuity of measurable homomorphisms on Cech-complete topological groups. arXiv:2206.02481
Preprint, arXiv:2206.02481 [math.GN] (2022).
Convergent sequences in topological groups. (English) Zbl 1523.22004
Reviewer: Saak S. Gabriyelyan (Beer-Sheva)
Countably compact groups without non-trivial convergent sequences. (English) Zbl 1482.22002
Reviewer: Paul Bankston (Milwaukee)
The isomorphism class of the shift map. (English) Zbl 1465.37012
Reviewer: K. P. Hart (Delft)
Haar null and Haar meager sets: a survey and new results. (English) Zbl 1472.03051
Reviewer: Miroslav Repický (Košice)
A classification of the cofinal structures of precompacta. (English) Zbl 1452.03101
Reviewer: K. P. Hart (Delft)
On a cardinal invariant related to the Haar measure problem. (English) Zbl 1440.28008
Reviewer: Hans Weber (Udine)
Automatic continuity of abstract homomorphisms between locally compact and Polish groups. (English) Zbl 1483.22001
Reviewer: Dieter Remus (Hagen)
Ultrapowers of topological spaces. (English) Zbl 1459.54017
Reviewer: Paolo Lipparini (Roma)
Invariant automatic continuity for compact connected simple Lie groups. (English) Zbl 1436.22011
Reviewer: Günter F. Steinke (Christchurch)
The structure of random automorphisms of countable structures. (English) Zbl 1458.03028
Reviewer: Miroslav Repický (Košice)
The Haar measure problem. (English) Zbl 1423.28038
Reviewer: Aubrey Wulfsohn (Coventry)
Bounded Invariant Equivalence Relations. arXiv:1810.05113
Preprint, arXiv:1810.05113 [math.LO] (2018).
Generalised Bohr compactification and model-theoretic connected components. (English) Zbl 1476.03044
A group topology on the free abelian group of cardinality \(\mathfrak{c}\) that makes its finite powers countably compact. (English) Zbl 1334.54054
Reviewer: Paolo Lipparini (Roma)
Definable topological dynamics and real Lie groups. (English) Zbl 1341.03049
Reviewer: Artur Piękosz (Kraków)
The character of topological groups, via bounded systems, Pontryagin-van Kampen duality and pcf theory. (English) Zbl 1297.22002
Haar null sets and the consistent reflection of non-meagreness. (English) Zbl 1290.28018
Reviewer: Hans Weber (Udine)
Global and local boundedness of Polish groups. (English) Zbl 1295.22006
Reviewer: Miroslav Repický (Košice)
On continuity of measurable group representations and homomorphisms. (English) Zbl 1290.22002
Reviewer: Aubrey Wulfsohn (Coventry)
Almost \(p\)-compact groups. (English) Zbl 1244.54025
Reviewer: Enrico Zoli (Firenze)
A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence. (English) Zbl 1244.54075
Reviewer: Shing So (Warrensburg)
Locally definable \(C^{\infty }G\) manifold structures of locally definable \(C^rG\) manifolds. (English) Zbl 1178.14059
Topological group criterion for \(C(\mathbf X)\) in compact-open-like topologies. II. (English) Zbl 1192.54004
Reviewer: Vladimir Tkachuk (Mexico)
Minimal pseudocompact group topologies on free abelian groups. (English) Zbl 1179.22001
Reviewer: Yuri Movsisyan (Yerevan)
HFD groups in the Solovay model. (English) Zbl 1173.54016
Reviewer: Kohzo Yamada (Shizuoka)
Topological group criterion for \(C(X)\) in compact-open-like topologies. I. (English) Zbl 1166.54007
Reviewer: Vladimir Tkachuk (Mexico)
Classifying the unclassifiables. (English) Zbl 1163.22002
Doran, Robert S. (ed.) et al., Group representations, ergodic theory, and mathematical physics. A tribute to George W. Mackey. AMS special session honoring the memory of George W. Mackey, New Orleans, LA, USA, January 7–8, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4225-6/pbk). Contemporary Mathematics 449, 137-147 (2008).
Reviewer: S. Ganguly (Kolkata)
Countably compact topological group topologies on free Abelian groups from selective ultrafilters. (English) Zbl 1116.54004
Reviewer: Jörg D. Brendle (Kobe)
Covering locally compact groups by less than \(2^\omega\) many translates of a compact nullset. (English) Zbl 1120.22002
Reviewer: Bernd O. Stratmann (St. Andrews)
Making group topologies with, and without, convergent sequences. (English) Zbl 1135.22004
Reviewer: Taras Banakh (Lviv)
Compactifications of \({\mathbb N}\) and Polishable subgroups of \(S_\infty\). (English) Zbl 1104.54016
Reviewer: Jörg D. Brendle (Kobe)
A solution to Comfort’s question on the countable compactness of powers of a topological group. (English) Zbl 1084.54003
Reviewer: Paul J. Szeptycki (Toronto)
Forcing hereditarily separable compact-like group topologies on Abelian groups. (English) Zbl 1068.22001
Reviewer: Salvador Hernández (Castellon)
Countable compactness and finite powers of topological groups without convergent sequences. (English) Zbl 1071.54020
Reviewer: Su Gao (Denton)
Some topological and differentiable invariants in o-minimal structures – a survey of the solution to the torsion point problem. (English) Zbl 1080.03024
Bélair, L. (ed.) et al., Model theory and applications. Based on the Euro-Conference in model theory and applications, Ravello, Italy, May 27–June 1, 2002. Rome: Aracne (ISBN 88-7999-411-5/hbk). Quaderni di Matematica 11, 307-323 (2002).
Introduction to the Lascar group. (English) Zbl 1042.03029
Tent, Katrin (ed.), Tits buildings and the model theory of groups. Papers of the workshop, Würzburg, Germany, September 2000. Cambridge: Cambridge University Press (ISBN 0-521-01063-2/pbk). Lond. Math. Soc. Lect. Note Ser. 291, 279-298 (2002).
Reviewer: Frank Wagner (Villeurbanne)
Concerning the dual group of a dense subgroup. (English) Zbl 1007.22005
Simon, Petr (ed.), Proceedings of the 9th Prague topological symposium, Prague, Czech Republic, August 19-25, 2001. Toronto: Topology Atlas. 23-35, electronic only (2002).
Reviewer: Peter Flor (Graz)
Duality of totally bounded Abelian groups. (English) Zbl 1007.22004
Reviewer: Peter Flor (Graz)
Actions of non-compact and non-locally compact Polish groups. (English) Zbl 0972.03043
Reviewer: Miroslav Repický (Košice)
Definable homomorphisms of abelian groups in o-minimal structures. (English) Zbl 0949.03033
Reviewer: H.D.Macpherson (Leeds)
A hierarchy of maps between compacta. (English) Zbl 0962.03024
Reviewer: Robert A.Herrmann (Annapolis)
A group under \(\text{MA}_{\text{countable}}\) whose square is countably compact but whose cube is not. (English) Zbl 0927.54039
Reviewer: K.P.Hart (Delft)
Imbeddings of manifolds defined on an \(o\)-minimal structure on \((\mathbb{R},+,\cdot,<)\). (English) Zbl 0939.14032
Reviewer: A.Kovačec (Coimbra)
Definable compactness and definable subgroups of o-minimal groups. (English) Zbl 0935.03047
Reviewer: Y.Peterzil (Haifa)
The first derived limit and compactly \(F_\sigma\) sets. (English) Zbl 0930.03054
Reviewer: Miroslav Repický (Košice)
Algebraic structure of pseudocompact groups. (English) Zbl 0907.22005
Mem. Am. Math. Soc. 633, 83 p. (1998).
Reviewer: W.W.Comfort (Middletown)
MSC:
22A05
54H11
54D30
03E35
03E10
20E05
20E10
20E26
20E34
20F50
20K10
20K20
20K45
22C05
54A25
54A35
54C25
54D05
54D20
Sequential continuity on dyadic compacta and topological groups. (English) Zbl 0887.54013
Reviewer: J.Rosický (Brno)
The existence of nonmeasurable sets for invariant measures. (English) Zbl 0822.03027
Reviewer: P.Vojtáš (Košice)
Compact groups of Ulam-measurable cardinality: Partial converses to theorems of Arhangel’skiĭ and Varopoulos. (English) Zbl 0817.22006
Reviewer: M.G.Tkachenko (Mexico)
A countably compact topological group \(H\) such that \(H \times{} H\) is not countably compact. (English) Zbl 0770.54037
Reviewer: W.W.Comfort (Middletown)
Results on consistency in topology. (English. Russian original) Zbl 0712.54002
Trans. Mosc. Math. Soc. 1987, 145-171 (1987); translation from Tr. Mosk. Mat. O.-va 49, 141-166 (1986).
Results on consistency in topology. (Russian) Zbl 0615.54006
Reviewer: A.Szymański
Precalibers of \(\sigma\)-compact topological groups. (English. Russian original) Zbl 0605.22003
Math. Notes 39, 465-470 (1986); translation from Mat. Zametki 39, No. 6, 859-868 (1986).
Reviewer: M.G.Tkachenko
Nonamenability and Borel paradoxical decompositions for locally compact groups. (English) Zbl 0604.28011
Reviewer: H.-J.Kowalsky
Compact groups: subgroups and extensions. (English) Zbl 0646.22001
Topology, theory and applications, 5th Colloq., Eger/Hung. 1983, Colloq. Math. Soc. János Bolyai 41, 183-198 (1985).
Cardinality constraints for pseudocompact and for totally dense subgroups of compact topological groups. (English) Zbl 0592.22005
Reviewer: D.Grant
Completions via duality. (English) Zbl 0517.20030
Abelian group theory, Proc. Conf., Honolulu 1983, Lect. Notes Math. 1006, 562-568 (1983).
Boolean valued analysis. (English) Zbl 0427.03046
Applications of sheaves, Proc. Res. Symp., Durham 1977, Lect. Notes Math. 753, 714-731 (1979).
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