Lupini, Martino (Looking for) the heart of abelian Polish groups. (English) Zbl 07915908 Adv. Math. 453, Article ID 109865, 46 p. (2024). MSC: 54H05 20K45 18F60 26E30 18G10 46M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laskowski, Michael C.; Ulrich, Douglas S. Characterizing the existence of a Borel complete expansion. (English) Zbl 07797032 Fundam. Math. 262, No. 1, 1-35 (2023). MSC: 03C50 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Causey, Ryan M.; Lancien, Gilles Universality, complexity and asymptotically uniformly smooth Banach spaces. (English) Zbl 07790579 Commentat. Math. Univ. Carol. 64, No. 1, 1-17 (2023). Reviewer: Ondřej Kalenda (Praha) MSC: 46B06 46B03 46B20 54H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Allison, Shaun; Shani, Assaf Actions of tame abelian product groups. (English) Zbl 07712960 J. Math. Log. 23, No. 3, Article ID 2250028, 25 p. (2023). MSC: 03E15 54H05 03E25 03E47 03E75 03C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Causey, R. M.; Lancien, G. Asymptotic smoothness and universality in Banach spaces. (English) Zbl 1522.46006 Colloq. Math. 172, No. 2, 281-324 (2023). Reviewer: Marek Cúth (Praha) MSC: 46B03 46B06 54H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laskowski, Michael C.; Ulrich, Douglas S. Most(?) theories have Borel complete reducts. (English) Zbl 1542.03051 J. Symb. Log. 88, No. 1, 418-426 (2023). Reviewer: Isaac Goldbring (Irvine) MSC: 03C15 03C50 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salehi, Saeed On Chaitin’s Heuristic Principle and Halting Probability. arXiv:2310.14807 Preprint, arXiv:2310.14807 [math.LO] (2023). MSC: 03F40 68Q30 60A10 28A05 68Q04 03D10 × Cite Format Result Cite Full Text: arXiv
İs, Melih; Karaca, İsmet Proximal Motion Planning Algorithms. arXiv:2305.13726 Preprint, arXiv:2305.13726 [math.AT] (2023). MSC: 54E17 55M30 54H05 55R80 × Cite Format Result Cite Full Text: arXiv OA License
Benli, Mustafa Gökhan; Kaya, Burak Descriptive complexity of subsets of the space of finitely generated groups. (English) Zbl 1525.20027 Expo. Math. 40, No. 4, 1116-1134 (2022). Reviewer: Luc Guyot (Genève) MSC: 20F05 20F65 20F50 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Selivanov, Victor A Q-wadge hierarchy in quasi-Polish spaces. (English) Zbl 07541920 J. Symb. Log. 87, No. 2, 732-757 (2022). MSC: 03D15 03D78 58J45 65M06 65M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paulos, João Descriptive set-theoretic aspects of closed sets of uniqueness in the non-abelian setting. (English) Zbl 1501.43005 Stud. Math. 265, No. 1, 77-109 (2022). MSC: 43A46 03E15 × Cite Format Result Cite Review PDF Full Text: DOI
Dahya, Raj On the complete metrisability of spaces of contractive semigroups. (English) Zbl 07524212 Arch. Math. 118, No. 5, 509-528 (2022). Reviewer: David Seifert (Newcastle upon Tyne) MSC: 47D06 54E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Xi; Zhang, Hang; Zhang, Shuguo The Borel complexity of ideal limit points. (English) Zbl 1493.40014 Topology Appl. 312, Article ID 108061, 12 p. (2022). Reviewer: Paolo Leonetti (Milano) MSC: 40A35 54A20 40A05 54H05 × Cite Format Result Cite Review PDF Full Text: DOI
Hoyrup, Mathieu The fixed-point property for represented spaces. (English) Zbl 1508.03076 Ann. Pure Appl. Logic 173, No. 5, Article ID 103090, 29 p. (2022). Reviewer: Daniel Graça (Faro) MSC: 03D78 03E15 54H05 54H25 03F60 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Zhang, Hang; Zhang, Shuguo Some applications of the theory of Katětov order to ideal convergence. (English) Zbl 1479.54017 Topology Appl. 301, Article ID 107545, 9 p. (2021). Reviewer: Miroslav Repický (Košice) MSC: 54A20 03E17 03E35 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Longyun; Li, Jiaming; Peng, Cheng Essential complexity of metrizable spaces. (English) Zbl 1524.03034 Topology Appl. 301, Article ID 107501, 8 p. (2021). MSC: 03E15 54H05 54E45 × Cite Format Result Cite Review PDF Full Text: DOI
Pokorný, Dušan; Zajíček, Luděk Remarks on WDC sets. (English) Zbl 07396212 Commentat. Math. Univ. Carol. 62, No. 1, 81-94 (2021). Reviewer: Mihály Bessenyei (Debrecen) MSC: 26B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Finkel, Olivier; Lecomte, Dominique Descriptive set theory and \(\omega\)-powers of finitary languages. (English) Zbl 1505.03097 Rezuş, Adrian (ed.), Contemporary logic and computing. London: College Publications. Landsc. Log. 1, 518-541 (2020). MSC: 03E15 68Q45 × Cite Format Result Cite Review PDF Full Text: arXiv
Duparc, Jacques; Vuilleumier, Louis The Wadge order on the Scott domain is not a well-quasi-order. (English) Zbl 1477.03186 J. Symb. Log. 85, No. 1, 300-324 (2020). MSC: 03E15 03D30 54H05 68Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lecomte, Dominique On the complexity of Borel equivalence relations with some countability property. (English) Zbl 1480.03039 Trans. Am. Math. Soc. 373, No. 3, 1845-1883 (2020). MSC: 03E15 28A05 54H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dranishnikov, Alexander An upper bound on the LS category in presence of the fundamental group. (English) Zbl 1439.55001 Algebr. Geom. Topol. 19, No. 7, 3601-3614 (2019). Reviewer: Youssef Rami (Meknès) MSC: 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shelah, Saharon; Ulrich, Douglas Torsion-free abelian groups are consistently \(\mathrm{a}\Delta^1_2\)-complete. (English) Zbl 1477.03189 Fundam. Math. 247, No. 3, 275-297 (2019). MSC: 03E15 03C55 03C60 20K15 20K20 03E55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bartoš, A.; Bobok, J.; van Mill, J.; Pyrih, P.; Vejnar, B. Compactifiable classes of compacta. (English) Zbl 1429.54042 Topology Appl. 266, Article ID 106836, 25 p. (2019). Reviewer: Leonard R. Rubin (Norman) MSC: 54H05 54F15 54D80 54B20 54E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clemens, John; Coskey, Samuel; Potter, Stephanie On the classification of vertex-transitive structures. (English) Zbl 1477.03184 Arch. Math. Logic 58, No. 5-6, 565-574 (2019). MSC: 03E15 05C63 05C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Coskey, Samuel; Ellis, Paul Conjugacy for homogeneous ordered graphs. (English) Zbl 1477.03185 Arch. Math. Logic 58, No. 3-4, 457-467 (2019). MSC: 03E15 03C15 20F10 20B25 05C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cieślak, Aleksander; Michalski, Marcin Universal sets for ideals. (English) Zbl 1420.54052 Bull. Pol. Acad. Sci., Math. 66, No. 2, 157-166 (2018). Reviewer: Paul Bankston (Aberystwyth) MSC: 54H05 03E57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bose, Kumardipta; Das, Pratulananda; Kwela, Adam Generating new ideals using weighted density via modulus functions. (English) Zbl 1439.28002 Indag. Math., New Ser. 29, No. 5, 1196-1209 (2018). MSC: 28A05 28E15 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Kovařík, Vojtěch Absolute \(\mathcal F\)-Borel classes. (English) Zbl 1432.54037 Fundam. Math. 243, No. 1, 85-107 (2018). Reviewer: Petr Holický (Praha) MSC: 54H05 54G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Godefroy, Gilles; Saint-Raymond, Jean Descriptive complexity of some isomorphism classes of Banach spaces. (English) Zbl 1400.46010 J. Funct. Anal. 275, No. 4, 1008-1022 (2018). Reviewer: Jesús M. F. Castillo (Badajoz) MSC: 46B03 54H05 × Cite Format Result Cite Review PDF Full Text: DOI
Rosendal, Christian; Zielinski, Joseph Compact metrizable structures and classification problems. (English) Zbl 1447.03012 J. Symb. Log. 83, No. 1, 165-186 (2018). MSC: 03E15 54E35 54H05 46L35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hartz, Michael; Lupini, Martino The classification problem for operator algebraic varieties and their multiplier algebras. (English) Zbl 1460.03019 Trans. Am. Math. Soc. 370, No. 3, 2161-2180 (2018). MSC: 03E15 46E22 47A13 47L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coskey, Samuel; Ellis, Paul The conjugacy problem for automorphism groups of homogeneous digraphs. (English) Zbl 1496.03187 Contrib. Discrete Math. 12, No. 1, 62-73 (2017). MSC: 03E15 03C15 20F10 20B25 05C20 × Cite Format Result Cite Review PDF Full Text: arXiv
Cabessa, Jérémie; Finkel, Olivier Expressive power of evolving neural networks working on infinite input streams. (English) Zbl 1495.68058 Klasing, Ralf (ed.) et al., Fundamentals of computation theory. 21st international symposium, FCT 2017, Bordeaux, France, September 11–13, 2017. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 10472, 150-163 (2017). MSC: 68Q06 03D05 03E15 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Kaya, Burak The complexity of the topological conjugacy problem for Toeplitz subshifts. (English) Zbl 1430.37019 Isr. J. Math. 220, No. 2, 873-897 (2017). MSC: 37B51 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gogacz, Tomasz; Michalewski, Henryk; Mio, Matteo; Skrzypczak, Michał Measure properties of regular sets of trees. (English) Zbl 1376.68092 Inf. Comput. 256, 108-130 (2017). MSC: 68Q45 03E15 28A05 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI
Rast, Richard The complexity of isomorphism for complete theories of linear orders with unary predicates. (English) Zbl 1417.03228 Arch. Math. Logic 56, No. 3-4, 289-307 (2017). MSC: 03C15 03C64 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaya, Burak The complexity of topological conjugacy of pointed Cantor minimal systems. (English) Zbl 1417.03258 Arch. Math. Logic 56, No. 3-4, 215-235 (2017). MSC: 03E15 37B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clemens, John D.; Lecomte, Dominique; Miller, Benjamin D. Dichotomy theorems for families of non-cofinal essential complexity. (English) Zbl 1423.03172 Adv. Math. 304, 285-299 (2017). MSC: 03E15 28A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skrzypczak, Michal; Walukiewicz, Igor Deciding the topological complexity of Büchi languages. (English) Zbl 1388.68181 Chatzigiannakis, Ioannis (ed.) et al., 43rd international colloquium on automata, languages, and programming, ICALP 2016, Rome, Italy, July 12–15, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-013-2). LIPIcs – Leibniz International Proceedings in Informatics 55, Article 99, 13 p. (2016). MSC: 68Q45 03D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gardella, Eusebio; Lupini, Martino Conjugacy and cocycle conjugacy of automorphisms of \({\mathcal O}_2\) are not Borel. (English) Zbl 1365.46054 Münster J. Math. 9, No. 1, 93-118 (2016). MSC: 46L40 54H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nešetřil, J.; Ossona de Mendez, P. Structural sparsity. (English. Russian original) Zbl 1367.03065 Russ. Math. Surv. 71, No. 1, 79-107 (2016); translation from Usp. Mat. Nauk 71, No. 1, 85-116 (2016). Reviewer: Vera Koponen (Uppsala) MSC: 03C13 03C98 05C99 05D40 68Q17 68Q19 03-02 05-02 × Cite Format Result Cite Review PDF Full Text: DOI
Sabok, Marcin Completeness of the isomorphism problem for separable \(C^\ast\)-algebras. (English) Zbl 1358.46060 Invent. Math. 204, No. 3, 833-868 (2016). Reviewer: Enrico Zoli (Firenze) MSC: 46L35 03E15 46A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gardella, Eusebio; Lupini, Martino Nonclassifiability of UHF \(L^p\)-operator algebras. (English) Zbl 1337.47105 Proc. Am. Math. Soc. 144, No. 5, 2081-2091 (2016). MSC: 47L10 03E15 47L30 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lupini, Martino The classification problem for automorphisms of \(C^*\)-algebras. (English) Zbl 1370.46037 Bull. Symb. Log. 21, No. 4, 402-424 (2015). Reviewer: Eusebio Gardella (Münster) MSC: 46L40 03E15 46L35 46L57 46-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertone, Cristina Quasi-stable ideals and Borel-fixed ideals with a given Hilbert polynomial. (English) Zbl 1327.13098 Appl. Algebra Eng. Commun. Comput. 26, No. 6, 507-525 (2015). MSC: 13P10 14Q20 12Y05 05E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finkel, Olivier; Lecomte, Dominique; Simonnet, Pierre An upper bound on the complexity of recognizable tree languages. (English) Zbl 1373.03066 RAIRO, Theor. Inform. Appl. 49, No. 2, 121-137 (2015). MSC: 03D05 03E15 03B70 68Q45 68Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Kerr, David; Lupini, Martino; Phillips, N. Christopher Borel complexity and automorphisms of \(C^*\)-algebras. (English) Zbl 1327.46059 J. Funct. Anal. 268, No. 12, 3767-3789 (2015). MSC: 46L40 46L55 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Friedman, Sy-David Equivalence relations in set theory, computation theory, model theory and complexity theory. (English) Zbl 1358.03067 Tennant, Neil (ed.), Foundational adventures. Essays in honour of Harvey M. Friedman. London: College Publications (ISBN 978-1-84890-117-9/pbk). Tributes 22, 267-284 (2014). MSC: 03E15 03C55 03C45 03D15 68Q15 × Cite Format Result Cite Review PDF
Duparc, Jacques; Finkel, Olivier; Ressayre, Jean-Pierre The Wadge hierarchy of Petri nets \(\omega\)-languages. (English) Zbl 1310.68130 Brattka, Vasco (ed.) et al., Logic, computation, hierarchies. Dedicated to Victor L. Selivanov on the occasion of his 60th birthday. Berlin: De Gruyter (ISBN 978-1-61451-783-2/hbk; 978-1-61451-804-4/ebook). Ontos Mathematical Logic 4, 109-138 (2014). MSC: 68Q45 03D05 03E15 68Q05 68Q15 68Q85 91A44 × Cite Format Result Cite Review PDF
de Brecht, Matthew Levels of discontinuity, limit-computability, and jump operators. (English) Zbl 1344.03037 Brattka, Vasco (ed.) et al., Logic, computation, hierarchies. Dedicated to Victor L. Selivanov on the occasion of his 60th birthday. Berlin: De Gruyter (ISBN 978-1-61451-783-2/hbk; 978-1-61451-804-4/ebook). Ontos Mathematical Logic 4, 79-107 (2014). MSC: 03D30 54H05 26A21 03F60 03G30 03E15 × Cite Format Result Cite Review PDF Full Text: arXiv
Finkel, Olivier Topological complexity of context-free \(\omega \)-languages: a survey. (English) Zbl 1486.68095 Dershowitz, Nachum (ed.) et al., Language, culture, computation. Computing – theory and technology. Essays dedicated to Yaacov Choueka on the occasion of his 75th birthday, Part I. Berlin: Springer. Lect. Notes Comput. Sci. 8001, 50-77 (2014). MSC: 68Q45 54H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lupini, Martino Unitary equivalence of automorphisms of separable \(C^*\)-algebras. (English) Zbl 1291.03088 Adv. Math. 262, 1002-1034 (2014). MSC: 03E15 46L40 46L57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farah, Ilijas; Toms, Andrew S.; Törnquist, Asger Turbulence, orbit equivalence, and the classification of nuclear \(C^*\)-algebras. (English) Zbl 1296.46053 J. Reine Angew. Math. 688, 101-146 (2014). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L35 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finkel, Olivier; Skrzypczak, Michał On the topological complexity of \(\omega\)-languages of non-deterministic Petri nets. (English) Zbl 1358.68211 Inf. Process. Lett. 114, No. 5, 229-233 (2014). MSC: 68Q85 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Drupieski, Christopher M. On projective modules for Frobenius kernels and finite Chevalley groups. (English) Zbl 1286.20010 Bull. Lond. Math. Soc. 45, No. 4, 715-720 (2013). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20C33 20G05 20G10 17B56 17B50 17B35 14L15 20G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andretta, Alessandro; Camerlo, Riccardo The descriptive set theory of the Lebesgue density theorem. (English) Zbl 1264.03096 Adv. Math. 234, 1-42 (2013). Reviewer: Enrico Zoli (Firenze) MSC: 03E15 28A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davie, George Decidable lim sup and Borel-Cantelli-like lemmas for random sequences. (English) Zbl 1285.03056 Stat. Probab. Lett. 83, No. 1, 278-285 (2013). MSC: 03D32 68Q30 60A05 × Cite Format Result Cite Review PDF Full Text: DOI
Guentner, Erik; Tessera, Romain; Yu, Guoliang A notion of geometric complexity and its application to topological rigidity. (English) Zbl 1257.57028 Invent. Math. 189, No. 2, 315-357 (2012). Reviewer: Charalampos Charitos (Athens) MSC: 57N65 53C24 55P10 57N15 57R65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Piotr W.; Yu, Guoliang Large scale geometry. (English) Zbl 1264.53051 EMS Textbooks in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-112-5/hbk). xiv, 189 p. (2012). Reviewer: Ana Pereira do Vale (Braga) MSC: 53C24 51-01 51F99 20F69 19K56 57-01 46L87 58B34 58J20 53C23 × Cite Format Result Cite Review PDF Full Text: DOI
Hummel, Szczepan; Skrzypczak, Michał The topological complexity of MSO+U and related automata models. (English) Zbl 1260.03075 Fundam. Inform. 119, No. 1, 87-111 (2012). MSC: 03D05 03E15 × Cite Format Result Cite Review PDF Full Text: Link
Ivanyos, Gábor Finding hidden Borel subgroups of the general linear group. (English) Zbl 1260.81047 Quantum Inf. Comput. 12, No. 7-8, 661-669 (2012). MSC: 81P68 20G20 68Q12 × Cite Format Result Cite Review PDF Full Text: arXiv
Brattka, Vasco; De Brecht, Matthew; Pauly, Arno Closed choice and a uniform low basis theorem. (English) Zbl 1251.03082 Ann. Pure Appl. Logic 163, No. 8, 986-1008 (2012). MSC: 03F60 03D30 03E15 03E25 68Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Landsberg, J. M. Tensors: geometry and applications. (English) Zbl 1238.15013 Graduate Studies in Mathematics 128. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6907-9/hbk). xx, 439 p. (2012). Reviewer: Werner Kleinert (Berlin) MSC: 15A72 15-01 15A69 14M12 14M15 15A75 14M17 14L30 20G05 62E10 94A12 53A45 × Cite Format Result Cite Review PDF
Yu, Guoliang Large scale geometry and its applications. (English) Zbl 1245.53043 Connes, Alain (ed.) et al., Noncommutative geometry and global analysis. Conference in honor of Henri Moscovici, Bonn, Germany, June 29–July 4, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4944-6/pbk). Contemporary Mathematics 546, 305-315 (2011). Reviewer: Ana Pereira do Vale (Braga) MSC: 53C24 53C23 58J22 × Cite Format Result Cite Review PDF
Drupieski, Christopher M. Representations and cohomology for Frobenius-Lusztig kernels. (English) Zbl 1242.17014 J. Pure Appl. Algebra 215, No. 6, 1473-1491 (2011). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B10 17B56 20G05 20G10 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Godefroy, Gilles Analytic sets of Banach spaces. (English) Zbl 1225.46007 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 104, No. 2, 365-374 (2010). MSC: 46B10 54H05 46B04 00A27 × Cite Format Result Cite Review PDF Full Text: DOI
Finkel, Olivier On some sets of dictionaries whose \(\omega\)-powers have a given complexity. (English) Zbl 1203.03067 Math. Log. Q. 56, No. 5, 452-460 (2010). MSC: 03E15 54H05 68Q15 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hummel, Szczepan; Michalewski, Henryk; Niwiński, Damian On the Borel inseparability of game tree languages. (English) Zbl 1236.68170 Albers, Susanne (ed.) et al., STACS 2009. 26th international symposium on theoretical aspects of computer science, Freiburg, Germany, February 26–28, 2009. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-09-5). LIPIcs – Leibniz International Proceedings in Informatics 3, 565-576, electronic only (2009). MSC: 68Q45 91A43 68Q15 03D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Finkel, Olivier; Simonnet, Pierre On recognizable tree languages beyond the Borel hierarchy. (English) Zbl 1190.03041 Fundam. Inform. 95, No. 2-3, 287-303 (2009). MSC: 03E15 03D05 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Finkel, Olivier The complexity of infinite computations in models of set theory. (English) Zbl 1191.03034 Log. Methods Comput. Sci. 5, No. 4, Paper No. 4, 19 p. (2009). MSC: 03E15 03D05 03E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simpson, Stephen G. Mass problems and measure-theoretic regularity. (English) Zbl 1191.03007 Bull. Symb. Log. 15, No. 4, 385-409 (2009). Reviewer: Jeffry L. Hirst (Boone) MSC: 03B30 03D55 03F35 03D30 03D32 28A05 28E15 68Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Brattka, Vasco; Gherardi, Guido Borel complexity of topological operations on computable metric spaces. (English) Zbl 1169.03047 J. Log. Comput. 19, No. 1, 45-76 (2009). Reviewer: Dieter Spreen (Siegen) MSC: 03F60 03D45 03E15 54H05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Arnold, David M. Locally free Abelian groups of finite rank. (English) Zbl 1205.20055 Göbel, Rüdiger (ed.) et al., Models, modules and abelian groups. In memory of A. L. S. Corner. Berlin: Walter de Gruyter (ISBN 978-3-11-019437-1/hbk). 83-97 (2008). Reviewer: Lutz Strüngmann (Essen) MSC: 20K15 × Cite Format Result Cite Review PDF
Finkel, Olivier Wadge degrees of infinitary rational relations. (English) Zbl 1157.03017 Math. Comput. Sci. 2, No. 1, 85-102 (2008). MSC: 03D05 03D10 03E15 68Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Finkel, Olivier Topological complexity of locally finite \(\omega\)-languages. (English) Zbl 1145.03018 Arch. Math. Logic 47, No. 6, 625-651 (2008). MSC: 03D05 03E15 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Thomas, Simon On the complexity of the quasi-isometry and virtual isomorphism problems for finitely generated groups. (English) Zbl 1151.03026 Groups Geom. Dyn. 2, No. 2, 281-307 (2008). Reviewer: Miroslav Repický (Košice) MSC: 03E15 20F65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Finkel, Olivier; Lecomte, Dominique There exist some \(\omega \)-powers of any Borel rank. (English) Zbl 1179.68069 Duparc, Jacques (ed.) et al., Computer science logic. 21st international workshop, CSL 2007, 16th annual conference of the EACSL, Lausanne, Switzerland, September 11–15, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-74914-1/pbk). Lecture Notes in Computer Science 4646, 115-129 (2007). MSC: 68Q45 03E15 × Cite Format Result Cite Review PDF Full Text: DOI
Matheron, Étienne; Zelený, Miroslav Descriptive set theory of families of small sets. (English) Zbl 1152.03042 Bull. Symb. Log. 13, No. 4, 482-537 (2007). Reviewer: Jörg D. Brendle (Kobe) MSC: 03E15 03-02 28A05 54H05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Jordan, Francis Collections of compact sets and functions having \(G_\delta\)-graphs. (English) Zbl 1134.26001 Real Anal. Exch. 32(2006-2007), No. 2, 287-302 (2007). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 26A15 03E15 × Cite Format Result Cite Review PDF Full Text: DOI
Laskowski, Michael C. An old friend revisited: countable models of \(\omega\)-stable theories. (English) Zbl 1130.03026 Notre Dame J. Formal Logic 48, No. 1, 133-141 (2007). Reviewer: M. Yasuhara (Princeton) MSC: 03C45 × Cite Format Result Cite Review PDF Full Text: DOI
Dasgupta, Abhijit The Riemann integrable functions are \(\mathbf\Pi_{3}^{0}\)-complete in the Lebesgue integrable functions. (English) Zbl 1125.26015 J. Math. Anal. Appl. 332, No. 1, 700-708 (2007). Reviewer: Miroslav Repický (Košice) MSC: 26A42 28A05 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Melleray, Julien Computing the complexity of the relation of isometry between separable Banach spaces. (English) Zbl 1115.03064 Math. Log. Q. 53, No. 2, 128-131 (2007). MSC: 03E15 46B04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finkel, Olivier On the accepting power of 2-tape Büchi automata. (English) Zbl 1137.03023 Durand, Bruno (ed.) et al., STACS 2006. 23rd annual symposium on theoretical aspects of computer science, Marseille, France, February 23–25, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-32301-3/pbk). Lecture Notes in Computer Science 3884, 301-312 (2006). MSC: 03D05 03E15 54H05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Ferenczi, Valentin; Galego, Elói Medina Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces. (English) Zbl 1148.46008 Isr. J. Math. 152, 61-82 (2006). Reviewer: Gilles Godefroy (Paris) MSC: 46B03 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Foreman, Matthew D.; Rudolph, Daniel J.; Weiss, Benjamin On the conjugacy relation in ergodic theory. (English) Zbl 1115.28002 C. R., Math., Acad. Sci. Paris 343, No. 10, 653-656 (2006). Reviewer: Michael L. Blank (Moskva) MSC: 28A05 37A35 68Q30 68Q19 × Cite Format Result Cite Review PDF Full Text: DOI Link
Farah, Ilijas; Solecki, Sławomir Borel subgroups of Polish groups. (English) Zbl 1100.03039 Adv. Math. 199, No. 2, 499-541 (2006). MSC: 03E15 54H11 × Cite Format Result Cite Review PDF Full Text: DOI
Finkel, Olivier On winning conditions of high Borel complexity in pushdown games. (English) Zbl 1136.91345 Fundam. Inform. 66, No. 3, 277-298 (2005). MSC: 91A44 03D05 03E15 68Q45 68Q60 × Cite Format Result Cite Review PDF Full Text: Link
Ferenczi, Valentin; Rosendal, Christian Ergodic Banach spaces. (English) Zbl 1082.46009 Adv. Math. 195, No. 1, 259-282 (2005). Reviewer: Daniel Li (Lens) MSC: 46B03 03E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Camerlo, Riccardo; Darji, Udayan B.; Marcone, Alberto Classification problems in continuum theory. (English) Zbl 1118.03041 Trans. Am. Math. Soc. 357, No. 11, 4301-4328 (2005). Reviewer: Su Gao (Denton) MSC: 03E15 54F15 54H05 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Serre, Olivier Games with winning conditions of high Borel complexity. (English) Zbl 1099.03510 Díaz, Josep (ed.) et al., Automata, languages and programming. 31st international colloquium, ICALP 2004, Turku, Finland, July 12–16, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22849-7/pbk). Lecture Notes in Computer Science 3142, 1150-1162 (2004). MSC: 03D05 03E15 68Q45 91A05 91A43 91A44 × Cite Format Result Cite Review PDF Full Text: DOI
Finkel, Olivier An \(\omega\)-power of a finitary language which is a Borel set of infinite rank. (English) Zbl 1102.03041 Fundam. Inform. 62, No. 3-4, 333-342 (2004). MSC: 03D05 03E15 68Q45 × Cite Format Result Cite Review PDF
Finkel, Olivier On recognizable languages of infinite pictures. (English) Zbl 1137.03319 Int. J. Found. Comput. Sci. 15, No. 6, 823-840 (2004). MSC: 03D05 03B25 68Q42 68Q45 03E15 × Cite Format Result Cite Review PDF Full Text: DOI
Kaufman, Robert On complexity of a set of norms in Banach spaces. (English) Zbl 1080.46006 Acta Univ. Carol., Math. Phys. 44, No. 2, 89-95 (2003). Reviewer: Vicente Montesinos Santalucía (Valencia) MSC: 46B03 54H05 × Cite Format Result Cite Review PDF Full Text: EuDML
Finkel, Olivier Borel hierarchy and omega context free languages. (English) Zbl 1051.68094 Theor. Comput. Sci. 290, No. 3, 1385-1405 (2003). MSC: 68Q45 03D05 03E15 × Cite Format Result Cite Review PDF Full Text: DOI
Majcher-Iwanow, B. Complexity of conjugacy classes of \(A(\mathbb Q)\). (English) Zbl 1023.54029 Topology Appl. 128, No. 2-3, 173-188 (2003). Reviewer: Petr Holický (Praha) MSC: 54H05 22A05 54H11 03E15 54H15 × Cite Format Result Cite Review PDF Full Text: DOI
Banakh, T. O. (Metrically) quarter-stratifiable spaces and their applications to the theory of separately continuous functions. (English) Zbl 1023.54023 Mat. Stud. 18, No. 1, 10-28 (2002). MSC: 54E20 54C08 54C05 × Cite Format Result Cite Review PDF Full Text: arXiv
Davie, George The Borel-Cantelli lemmas, probability laws and Kolmogorov complexity. (English) Zbl 1017.60002 Ann. Probab. 29, No. 4, 1426-1434 (2001). Reviewer: Roman Frič (Košice) MSC: 60A05 68Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Thomas, Simon On the complexity of the classification problem for torsion-free Abelian groups of finite rank. (English) Zbl 1006.20042 Bull. Symb. Log. 7, No. 3, 329-344 (2001). Reviewer: Ross P.Abraham (Brookings) MSC: 20K15 03E15 20A15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Komisarski, Andrzej Some descriptive set-theoretic properties of the isomorphism relation between Banach spaces. (English) Zbl 0969.03055 Proc. Am. Math. Soc. 129, No. 10, 3085-3090 (2001). MSC: 03E15 46B03 × Cite Format Result Cite Review PDF Full Text: DOI
Dasgupta, Abhijit Borel complexity of the space of probability measures. (English) Zbl 0968.03053 Proc. Am. Math. Soc. 129, No. 8, 2441-2443 (2001). MSC: 03E15 60B05 28A05 × Cite Format Result Cite Review PDF Full Text: DOI