Edit Profile (opens in new tab) Spinas, Otmar Co-Author Distance Author ID: spinas.otmar Published as: Spinas, Otmar; Spinas, O. Homepage: http://www.math.uni-kiel.de/logik/spinas/ External Links: MGP Documents Indexed: 46 Publications since 1989, including 1 Book 1 Further Contribution Reviewing Activity: 13 Reviews Co-Authors: 21 Co-Authors with 26 Joint Publications 441 Co-Co-Authors all top 5 Co-Authors 20 single-authored 10 Shelah, Saharon 2 Baumgartner, James Earl 2 Brendle, Jörg 2 Goldstern, Martin Robert 2 Judah, Haim I. 1 Appenzeller, Fred 1 Bäni, Werner 1 Foreman, Matthew D. 1 Gross, Herbert 1 Hein, Paul 1 Herrmann, Christian 1 Hjorth, Gregory 1 Johnson, Mark J. 1 Jossen, Sven 1 Keller, Hans Arwed 1 Klein, Olaf 1 Kuiper, Jelle Mathis 1 Künzi, Urs-Martin 1 Mekler, Alan H. 1 Mildenberger, Heike 1 Moresi, Remo 1 Repický, Miroslav 1 Rosłanowski, Andrzej 1 Schneider, Paul J. 1 Schuppli, Reto 1 Solecki, Sławomir 1 Solér, Maria Pia 1 Thiele, Sonja 1 Wild, Marcel 1 Wohofsky, Wolfgang 1 Wyszkowski, Marek 1 Zhang, Yi all top 5 Serials 7 The Journal of Symbolic Logic 6 Proceedings of the American Mathematical Society 5 Fundamenta Mathematicae 5 Archive for Mathematical Logic 4 Israel Journal of Mathematics 4 Annals of Pure and Applied Logic 3 Transactions of the American Mathematical Society 2 Bulletin of the London Mathematical Society 2 Journal of Algebra 2 Journal of Mathematical Logic 1 Mathematica Japonica 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Bayreuther Mathematische Schriften all top 5 Fields 46 Mathematical logic and foundations (03-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 General topology (54-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Number theory (11-XX) 3 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 208 times in 110 Documents Cited by ▼ Year ▼ The distributivity numbers of finite products of \({\mathcal P}(\omega)/\text{fin}\). Zbl 0949.03044 Shelah, Saharon; Spinas, Otmar 17 1998 Uniformity of the meager ideal and maximal cofinitary groups. Zbl 0966.20001 Brendle, Jörg; Spinas, Otmar; Zhang, Yi 16 2000 Generic trees. Zbl 0835.03011 Spinas, Otmar 16 1995 On tree ideals. Zbl 0823.03027 Goldstern, Martin; Repický, Miroslav; Shelah, Saharon; Spinas, Otmar 15 1995 Partition numbers. Zbl 0891.03019 Spinas, Otmar 13 1997 Ramsey and freeness properties of Polish planes. Zbl 1020.03042 Spinas, Otmar 11 2001 The distributivity numbers of \(\mathcal{P}(\omega)\)/fin and its square. Zbl 0943.03036 Shelah, Saharon; Spinas, Otmar 10 2000 Silver trees and Cohen reals. Zbl 1370.03066 Spinas, Otmar 8 2016 Regularity properties for dominating projective sets. Zbl 0824.03025 Brendle, Jörg; Hjorth, Greg; Spinas, Otmar 8 1995 Antichains of perfect and splitting trees. Zbl 1452.03102 Hein, Paul; Spinas, Otmar 8 2020 Independence and consistency proofs in quadratic form theory. Zbl 0745.03040 Baumgartner, James E.; Spinas, Otmar 7 1991 Analytic countably splitting families. Zbl 1067.03054 Spinas, Otmar 7 2004 Dominating projective sets in the Baire space. Zbl 0821.03021 Spinas, Otmar 6 1994 Silver antichains. Zbl 1373.03091 Spinas, Otmar; Wyszkowski, Marek 6 2015 Towers on trees. Zbl 0809.03035 Goldstern, Martin; Johnson, Mark J.; Spinas, Otmar 5 1994 Canonical behavior of Borel functions on superperfect rectangles. Zbl 0996.03029 Spinas, Otmar 4 2001 Dominating and unbounded free sets. Zbl 0947.03067 Solecki, Slawomir; Spinas, Otmar 4 1999 A two-dimensional tree ideal. Zbl 1105.03047 Jossen, Sven; Spinas, Otmar 4 2005 No Tukey reduction of Lebesgue null to Silver null sets. Zbl 1522.03221 Spinas, Otmar 4 2018 Mad spectra. Zbl 1367.03093 Shelah, Saharon; Spinas, Otmar 3 2015 Different cofinalities of tree ideals. Zbl 07695418 Shelah, Saharon; Spinas, Otmar 3 2023 Konsistenz- und Unabhängigkeitsresultate in der Theorie der quadratischen Formen. (Consistency and independence results in the theory of quadratic forms). Zbl 0681.03034 Spinas, Otmar 3 1989 Partitioning products of \({\mathcal P} (\omega)/\text{fin}\). Zbl 0865.04004 Spinas, Otmar 3 1996 A Sacks amoeba preserving distributivity of \(\mathcal{P}(\omega)/\mathrm{fin}\). Zbl 1529.03242 Spinas, Otmar; Wohofsky, Wolfgang 3 2021 Splitting squares. Zbl 1144.03029 Spinas, Otmar 2 2007 Orthogonal geometry in infinite dimensional vector spaces. Zbl 0905.11001 2 1998 Linear topologies on sesquilinear spaces of uncountable dimension. Zbl 0766.03027 Spinas, Otmar 2 1991 Iterated forcing in quadratic form theory. Zbl 0801.03033 Spinas, O. 2 1992 Gross spaces. Zbl 0860.03037 Shelah, Saharon; Spinas, Otmar 2 1996 The spectrum of the \(\Gamma\)-invariant of a bilinear space. Zbl 0869.03030 Baumgartner, James E.; Foreman, Matthew; Spinas, Otmar 2 1997 Large cardinals and projective sets. Zbl 0869.03029 Judah, Haim; Spinas, Otmar 2 1997 Cardinal invariants and quadratic forms. Zbl 0836.03026 Spinas, Otmar 2 1993 Proper products. Zbl 1179.03045 Spinas, Otmar 2 2009 Nonproper products. Zbl 1250.03103 Rosłanowski, Andrzej; Shelah, Saharon; Spinas, Otmar 2 2012 Tukey reductions of nowhere Ramsey to silver null sets. Zbl 1529.03232 Spinas, Otmar 2 2022 Countable filters on \(\omega\). Zbl 0934.03059 Spinas, Otmar 1 1999 Perfect set theorems. Zbl 1159.03033 Spinas, Otmar 1 2008 Canonical forms of Borel functions on the Milliken space. Zbl 1090.03018 Klein, Olaf; Spinas, Otmar 1 2005 On the structure of \(\Delta^ 1_ 4\)-sets of reals. Zbl 0842.03036 Judah, Haim; Spinas, Otmar 1 1995 Different cofinalities of tree ideals. Zbl 07695418 Shelah, Saharon; Spinas, Otmar 3 2023 Tukey reductions of nowhere Ramsey to silver null sets. Zbl 1529.03232 Spinas, Otmar 2 2022 A Sacks amoeba preserving distributivity of \(\mathcal{P}(\omega)/\mathrm{fin}\). Zbl 1529.03242 Spinas, Otmar; Wohofsky, Wolfgang 3 2021 Antichains of perfect and splitting trees. Zbl 1452.03102 Hein, Paul; Spinas, Otmar 8 2020 No Tukey reduction of Lebesgue null to Silver null sets. Zbl 1522.03221 Spinas, Otmar 4 2018 Silver trees and Cohen reals. Zbl 1370.03066 Spinas, Otmar 8 2016 Silver antichains. Zbl 1373.03091 Spinas, Otmar; Wyszkowski, Marek 6 2015 Mad spectra. Zbl 1367.03093 Shelah, Saharon; Spinas, Otmar 3 2015 Nonproper products. Zbl 1250.03103 Rosłanowski, Andrzej; Shelah, Saharon; Spinas, Otmar 2 2012 Proper products. Zbl 1179.03045 Spinas, Otmar 2 2009 Perfect set theorems. Zbl 1159.03033 Spinas, Otmar 1 2008 Splitting squares. Zbl 1144.03029 Spinas, Otmar 2 2007 A two-dimensional tree ideal. Zbl 1105.03047 Jossen, Sven; Spinas, Otmar 4 2005 Canonical forms of Borel functions on the Milliken space. Zbl 1090.03018 Klein, Olaf; Spinas, Otmar 1 2005 Analytic countably splitting families. Zbl 1067.03054 Spinas, Otmar 7 2004 Ramsey and freeness properties of Polish planes. Zbl 1020.03042 Spinas, Otmar 11 2001 Canonical behavior of Borel functions on superperfect rectangles. Zbl 0996.03029 Spinas, Otmar 4 2001 Uniformity of the meager ideal and maximal cofinitary groups. Zbl 0966.20001 Brendle, Jörg; Spinas, Otmar; Zhang, Yi 16 2000 The distributivity numbers of \(\mathcal{P}(\omega)\)/fin and its square. Zbl 0943.03036 Shelah, Saharon; Spinas, Otmar 10 2000 Dominating and unbounded free sets. Zbl 0947.03067 Solecki, Slawomir; Spinas, Otmar 4 1999 Countable filters on \(\omega\). Zbl 0934.03059 Spinas, Otmar 1 1999 The distributivity numbers of finite products of \({\mathcal P}(\omega)/\text{fin}\). Zbl 0949.03044 Shelah, Saharon; Spinas, Otmar 17 1998 Orthogonal geometry in infinite dimensional vector spaces. Zbl 0905.11001 2 1998 Partition numbers. Zbl 0891.03019 Spinas, Otmar 13 1997 The spectrum of the \(\Gamma\)-invariant of a bilinear space. Zbl 0869.03030 Baumgartner, James E.; Foreman, Matthew; Spinas, Otmar 2 1997 Large cardinals and projective sets. Zbl 0869.03029 Judah, Haim; Spinas, Otmar 2 1997 Partitioning products of \({\mathcal P} (\omega)/\text{fin}\). Zbl 0865.04004 Spinas, Otmar 3 1996 Gross spaces. Zbl 0860.03037 Shelah, Saharon; Spinas, Otmar 2 1996 Generic trees. Zbl 0835.03011 Spinas, Otmar 16 1995 On tree ideals. Zbl 0823.03027 Goldstern, Martin; Repický, Miroslav; Shelah, Saharon; Spinas, Otmar 15 1995 Regularity properties for dominating projective sets. Zbl 0824.03025 Brendle, Jörg; Hjorth, Greg; Spinas, Otmar 8 1995 On the structure of \(\Delta^ 1_ 4\)-sets of reals. Zbl 0842.03036 Judah, Haim; Spinas, Otmar 1 1995 Dominating projective sets in the Baire space. Zbl 0821.03021 Spinas, Otmar 6 1994 Towers on trees. Zbl 0809.03035 Goldstern, Martin; Johnson, Mark J.; Spinas, Otmar 5 1994 Cardinal invariants and quadratic forms. Zbl 0836.03026 Spinas, Otmar 2 1993 Iterated forcing in quadratic form theory. Zbl 0801.03033 Spinas, O. 2 1992 Independence and consistency proofs in quadratic form theory. Zbl 0745.03040 Baumgartner, James E.; Spinas, Otmar 7 1991 Linear topologies on sesquilinear spaces of uncountable dimension. Zbl 0766.03027 Spinas, Otmar 2 1991 Konsistenz- und Unabhängigkeitsresultate in der Theorie der quadratischen Formen. (Consistency and independence results in the theory of quadratic forms). Zbl 0681.03034 Spinas, Otmar 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 92 Authors 19 Spinas, Otmar 11 Brendle, Jörg 10 Shelah, Saharon 8 Fischer, Vera 8 Laguzzi, Giorgio 7 Kurilić, Miloš S. 6 Hrušák, Michael 5 Guzmán González, Osvaldo 5 Zapletal, Jindřich 4 Khomskii, Yurii Daniilovich 4 Schrittesser, David 3 Rałowski, Robert 3 Repický, Miroslav 3 Wohofsky, Wolfgang 3 Zhang, Yi 2 Brian, William Rea 2 Dečo, Michal 2 Farah, Ilijas 2 Friedman, Sy-David 2 Halbeisen, Lorenz J. 2 Kastermans, Bart 2 Koszmider, Piotr B. 2 Löwe, Benedikt 2 Michalski, Marcin 2 Mildenberger, Heike 2 Pawlikowski, Janusz 2 Pearl, Elliott 2 Smythe, Iian B. 2 Stadnicki, Wojciech 2 Stuber-Rousselle, Brendan 2 Törnquist, Asger 2 Velickovic, Boban 2 Żeberski, Szymon 1 Árciga Alejandre, Martín Patricio 1 Aviles Lopez, Antonio 1 Balcar, Bohuslav 1 Banakh, Taras Onufrievich 1 Baumgartner, James Earl 1 Bingham, Nicholas Hugh 1 Brooke-Taylor, Andrew D. 1 Chodounský, David 1 Cichoń, Jacek 1 Cruz Chapital, Jorge Antonio 1 Doucha, Michal 1 Džamonja, Mirna 1 Fernández Bretón, David José 1 Foreman, Matthew D. 1 Gao, Su 1 Goldstern, Martin Robert 1 Hein, Paul 1 Hjorth, Gregory 1 Kalemba, Piotr 1 Kanovei, Vladimir G. 1 Kechris, Alexander S. 1 Klausner, Lukas Daniel 1 Klein, Olaf 1 Koelbing, Marlene 1 Krawczyk, Adam 1 Kuiper, Jelle Mathis 1 Lischka, Marc 1 Lyubetsky, Vassily Aleksandrovich 1 Majcher-Iwanow, Barbara 1 Martinez-Ranero, Carlos Azarel 1 Meza-Alcántara, David 1 Minami, Hiroaki 1 Montoya, Diana Carolina 1 Moore, Justin Tatch 1 Morača, Nenad 1 Müller, Sandra 1 Ostaszewski, Adam J. 1 Plewik, Szymon 1 Raghavan, Dilip 1 Rosłanowski, Andrzej 1 Schilhan, Jonathan 1 Schlicht, Philipp 1 Sinapova, Dima 1 Sonpanow, Nattapon 1 Šupina, Jaroslav 1 Switzer, Corey Bacal 1 Téllez, Osvaldo 1 Thiele, Sonja 1 Thümmel, Egbert 1 Todorcevic, Stevo B. 1 Trlifaj, Jan jun. 1 Uzcategui, Carlos Enrique 1 Vejjajiva, Pimpen 1 Weglorz, Bogdan 1 Weinert, Thilo V. 1 Woodin, W. Hugh 1 Yatabe, Shunsuke 1 Zdoms’kyĭ, Lyubomyr Sergiĭovych 1 Zhang, Shuguo all top 5 Cited in 22 Serials 18 Annals of Pure and Applied Logic 16 The Journal of Symbolic Logic 16 Archive for Mathematical Logic 9 Mathematical Logic Quarterly (MLQ) 8 Israel Journal of Mathematics 8 Proceedings of the American Mathematical Society 6 Topology and its Applications 5 Transactions of the American Mathematical Society 4 Fundamenta Mathematicae 4 Journal of Mathematical Logic 2 Order 2 The Bulletin of Symbolic Logic 2 European Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Colloquium Mathematicum 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Nagoya Mathematical Journal 1 Notre Dame Journal of Formal Logic 1 Annals of Combinatorics 1 Central European Journal of Mathematics all top 5 Cited in 17 Fields 106 Mathematical logic and foundations (03-XX) 12 General topology (54-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Group theory and generalizations (20-XX) 6 Measure and integration (28-XX) 4 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Number theory (11-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) Citations by Year