# zbMATH — the first resource for mathematics

## Goldbring, Isaac

Compute Distance To:
 Author ID: goldbring.isaac Published as: Goldbring, Isaac External Links: MGP · Wikidata
 Documents Indexed: 48 Publications since 2008, including 1 Book Reviewing Activity: 56 Reviews
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#### Co-Authors

 11 single-authored 7 Lupini, Martino 6 Di Nasso, Mauro 6 Leth, Steven C. 6 Sinclair, Thomas 5 Andrews, Uri 5 Hart, Bradd T. 5 Jin, Renling 5 Mahlburg, Karl 4 van den Dries, Lou 3 Keisler, Howard Jerome 3 Towsner, Henry 1 Aschenbrenner, Matthias 1 Avsec, Stephen 1 Conant, Gabriel 1 Eagle, Christopher J. 1 Ealy, Clifton E. jun. 1 Farah, Ilijas 1 Hachtman, Sherwood 1 Lopes, Vinicius Cifú 1 Marker, David E. 1 Masdeu, Marc 1 Sherman, David J. 1 Sisto, Alessandro 1 Vignati, Alessandro 1 Walsh, Sean
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#### Serials

 3 Israel Journal of Mathematics 3 Fundamenta Mathematicae 3 The Journal of Symbolic Logic 3 Archive for Mathematical Logic 3 Journal of Lie Theory 2 Illinois Journal of Mathematics 2 Notre Dame Journal of Formal Logic 2 Journal of Logic and Analysis 1 Communications in Algebra 1 Houston Journal of Mathematics 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Topology and its Applications 1 Annals of Pure and Applied Logic 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Notices of the American Mathematical Society 1 Mathematical Logic Quarterly (MLQ) 1 The Bulletin of Symbolic Logic 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Journal of Mathematical Logic 1 Integers 1 Journal of the Institute of Mathematics of Jussieu 1 Lecture Notes in Mathematics
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#### Fields

 36 Mathematical logic and foundations (03-XX) 15 Functional analysis (46-XX) 7 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 5 Combinatorics (05-XX) 5 General topology (54-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 3 Group theory and generalizations (20-XX) 2 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH

32 Publications have been cited 110 times in 63 Documents Cited by Year
On Kirchberg’s embedding problem. Zbl 1410.46039
Goldbring, Isaac; Sinclair, Thomas
2015
Existentially closed $$\mathrm{ II}_1$$ factors. Zbl 1436.03213
Farah, Ilijas; Goldbring, Isaac; Hart, Bradd; Sherman, David
2016
Hilbert’s fifth problem for local groups. Zbl 1219.22004
Goldbring, Isaac
2010
Thorn-forking in continuous logic. Zbl 1257.03059
Ealy, Clifton; Goldbring, Isaac
2012
Model-theoretic aspects of the Gurarij operator system. Zbl 1414.03010
Goldbring, Isaac; Lupini, Martino
2018
The pseudoarc is a co-existentially closed continuum. Zbl 1338.54141
Eagle, Christopher J.; Goldbring, Isaac; Vignati, Alessandro
2016
The theory of tracial von Neumann algebras does not have a model companion. Zbl 1316.03019
Goldbring, Isaac; Hart, Bradd; Sinclair, Thomas
2013
Omitting types in operator systems. Zbl 1382.46042
Goldbring, Isaac; Sinclair, Thomas
2017
On a sumset conjecture of Erdős. Zbl 1365.11008
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2015
High density piecewise syndeticity of sumsets. Zbl 1398.11029
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2015
Robinson forcing and the quasidiagonality problem. Zbl 1372.46047
Goldbring, Isaac; Sinclair, Thomas
2017
Definable functions in Urysohn’s metric space. Zbl 1279.03061
Goldbring, Isaac
2011
Pseudofinite and pseudocompact metric structures. Zbl 1334.03036
Goldbring, Isaac; Lopes, Vinicius Cifú
2015
An approximate logic for measures. Zbl 1298.03100
Goldbring, Isaac; Towsner, Henry
2014
Nonstandard methods in Ramsey theory and combinatorial number theory. Zbl 1432.05001
Di Nasso, Mauro; Goldbring, Isaac; Lupini, Martino
2019
Definable closure in randomizations. Zbl 1372.03061
Andrews, Uri; Goldbring, Isaac; Keisler, H. Jerome
2015
Definable operators on Hilbert spaces. Zbl 1258.03043
Goldbring, Isaac
2012
An approximate Herbrand’s theorem and definable functions in metric structures. Zbl 1246.03062
Goldbring, Isaac
2012
Globalizing locally compact local groups. Zbl 1203.22006
van den Dries, Lou; Goldbring, Isaac
2010
An invitation to nonstandard analysis and its recent applications. Zbl 1423.03263
Goldbring, Isaac; Walsh, Sean
2019
On the axiomatizability of $$C^*$$-algebras as operator systems. Zbl 1431.46036
Goldbring, Isaac; Sinclair, Thomas
2019
Definable sets containing productsets in expansions of groups. Zbl 06998938
Andrews, Uri; Conant, Gabriel; Goldbring, Isaac
2019
On the theories of McDuff’s II$$_1$$ factors. Zbl 1404.03038
Goldbring, Isaac; Hart, Bradd
2017
High density piecewise syndeticity of product sets in amenable groups. Zbl 1419.11017
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2016
Approximate polynomial structure in additively large sets. Zbl 1403.11008
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2016
Games and elementary equivalence of $$\mathrm{II}_1$$-factors. Zbl 1345.46054
Goldbring, Isaac; Sinclair, Thomas
2015
Transseries and Todorov-Vernaeve’s asymptotic fields. Zbl 1359.03047
Aschenbrenner, Matthias; Goldbring, Isaac
2014
Erratum to “Globalizing locally compact local groups”. Zbl 1242.22005
van den Dries, Lou; Goldbring, Isaac
2012
Ends of groups: a nonstandard perspective. Zbl 1277.20045
Goldbring, Isaac
2011
Nonstandard hulls of locally exponential Lie algebras. Zbl 1275.22016
Goldbring, Isaac
2009
Locally compact contractive local groups. Zbl 1222.22004
van den Dries, Lou; Goldbring, Isaac
2009
Bézout domains and elliptic curves. Zbl 1152.13014
Goldbring, Isaac; Masdeu, Marc
2008
Nonstandard methods in Ramsey theory and combinatorial number theory. Zbl 1432.05001
Di Nasso, Mauro; Goldbring, Isaac; Lupini, Martino
2019
An invitation to nonstandard analysis and its recent applications. Zbl 1423.03263
Goldbring, Isaac; Walsh, Sean
2019
On the axiomatizability of $$C^*$$-algebras as operator systems. Zbl 1431.46036
Goldbring, Isaac; Sinclair, Thomas
2019
Definable sets containing productsets in expansions of groups. Zbl 06998938
Andrews, Uri; Conant, Gabriel; Goldbring, Isaac
2019
Model-theoretic aspects of the Gurarij operator system. Zbl 1414.03010
Goldbring, Isaac; Lupini, Martino
2018
Omitting types in operator systems. Zbl 1382.46042
Goldbring, Isaac; Sinclair, Thomas
2017
Robinson forcing and the quasidiagonality problem. Zbl 1372.46047
Goldbring, Isaac; Sinclair, Thomas
2017
On the theories of McDuff’s II$$_1$$ factors. Zbl 1404.03038
Goldbring, Isaac; Hart, Bradd
2017
Existentially closed $$\mathrm{ II}_1$$ factors. Zbl 1436.03213
Farah, Ilijas; Goldbring, Isaac; Hart, Bradd; Sherman, David
2016
The pseudoarc is a co-existentially closed continuum. Zbl 1338.54141
Eagle, Christopher J.; Goldbring, Isaac; Vignati, Alessandro
2016
High density piecewise syndeticity of product sets in amenable groups. Zbl 1419.11017
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2016
Approximate polynomial structure in additively large sets. Zbl 1403.11008
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2016
On Kirchberg’s embedding problem. Zbl 1410.46039
Goldbring, Isaac; Sinclair, Thomas
2015
On a sumset conjecture of Erdős. Zbl 1365.11008
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2015
High density piecewise syndeticity of sumsets. Zbl 1398.11029
Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl
2015
Pseudofinite and pseudocompact metric structures. Zbl 1334.03036
Goldbring, Isaac; Lopes, Vinicius Cifú
2015
Definable closure in randomizations. Zbl 1372.03061
Andrews, Uri; Goldbring, Isaac; Keisler, H. Jerome
2015
Games and elementary equivalence of $$\mathrm{II}_1$$-factors. Zbl 1345.46054
Goldbring, Isaac; Sinclair, Thomas
2015
An approximate logic for measures. Zbl 1298.03100
Goldbring, Isaac; Towsner, Henry
2014
Transseries and Todorov-Vernaeve’s asymptotic fields. Zbl 1359.03047
Aschenbrenner, Matthias; Goldbring, Isaac
2014
The theory of tracial von Neumann algebras does not have a model companion. Zbl 1316.03019
Goldbring, Isaac; Hart, Bradd; Sinclair, Thomas
2013
Thorn-forking in continuous logic. Zbl 1257.03059
Ealy, Clifton; Goldbring, Isaac
2012
Definable operators on Hilbert spaces. Zbl 1258.03043
Goldbring, Isaac
2012
An approximate Herbrand’s theorem and definable functions in metric structures. Zbl 1246.03062
Goldbring, Isaac
2012
Erratum to “Globalizing locally compact local groups”. Zbl 1242.22005
van den Dries, Lou; Goldbring, Isaac
2012
Definable functions in Urysohn’s metric space. Zbl 1279.03061
Goldbring, Isaac
2011
Ends of groups: a nonstandard perspective. Zbl 1277.20045
Goldbring, Isaac
2011
Hilbert’s fifth problem for local groups. Zbl 1219.22004
Goldbring, Isaac
2010
Globalizing locally compact local groups. Zbl 1203.22006
van den Dries, Lou; Goldbring, Isaac
2010
Nonstandard hulls of locally exponential Lie algebras. Zbl 1275.22016
Goldbring, Isaac
2009
Locally compact contractive local groups. Zbl 1222.22004
van den Dries, Lou; Goldbring, Isaac
2009
Bézout domains and elliptic curves. Zbl 1152.13014
Goldbring, Isaac; Masdeu, Marc
2008
all top 5

#### Cited by 75 Authors

 20 Goldbring, Isaac 8 Lupini, Martino 5 Conant, Gabriel 4 Farah, Ilijas 4 Hart, Bradd T. 3 Andrews, Uri 3 Sinclair, Thomas 3 Towsner, Henry 3 Vignati, Alessandro 2 Di Nasso, Mauro 2 Eagle, Christopher J. 2 Gardella, Eusebio 2 Hrushovski, Ehud 2 Kanovei, Vladimir G. 2 Katz, Mikhail G. 2 Keisler, Howard Jerome 2 Leth, Steven C. 2 Robertson, Donald 2 Sherman, David J. 1 Ackerman, Nathanael Leedom 1 Álvarez López, Jesús A. 1 Baglini, Lorenzo Luperi 1 Bair, Jacques 1 Bankston, Paul 1 Barlak, Selçuk 1 Barral Lijó, Ramón 1 Bergelson, Vitaly 1 Björklund, Michael 1 Błaszczyk, Piotr 1 Borrego-Díaz, Joaquín 1 Breuillard, Emmanuel 1 Buliga, Marius G. 1 Carnevale, Angela 1 Cavaleri, Matteo 1 Christopherson, J. C. 1 Dabrowski, Yoann 1 Echi, Othman 1 Fernandes, Rui Loja 1 Freer, Cameron E. 1 Gabber, Ofer 1 Green, Ben Joseph 1 Guillén, Elías Fuentes 1 Hammond, Peter J. 1 He, Wei 1 Heinig, Peter 1 Hirshberg, Ilan 1 Ibarlucía, Tomás 1 Insall, Matt 1 Jin, Renling 1 Kalantar, Mehrdad 1 Khalfallah, Adel 1 Liu, Qing 1 Loeb, Peter A. 1 Lorenzini, Dino J. 1 Magidor, Menachem 1 Mahlburg, Karl 1 Marciniak, Małgorzata Aneta 1 Martínez Torres, David 1 Massicot, Jean-Cyrille 1 Michiels, Daan 1 Moreira, Joel 1 Mormann, Thomas 1 Nešetřil, Jaroslav 1 Patel, Rehana 1 Pediconi, Francesco 1 Richter, Florian Karl 1 Simmons, William D. 1 Sun, Yeneng 1 Szabó, Gábor J. 1 Tao, Terence 1 Terry, Caroline A. 1 van den Dries, Lou 1 Wagner, Frank Olaf 1 Y. N. Sun, Yeneng 1 Zorin-Kranich, Pavel
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#### Cited in 37 Serials

 7 Advances in Mathematics 5 Journal of Functional Analysis 4 Annals of Pure and Applied Logic 3 Israel Journal of Mathematics 3 The Journal of Symbolic Logic 3 Topology and its Applications 2 Illinois Journal of Mathematics 2 Notre Dame Journal of Formal Logic 2 Proceedings of the American Mathematical Society 2 International Journal of Mathematics 2 The Bulletin of Symbolic Logic 2 Journal of Mathematical Logic 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal für die Reine und Angewandte Mathematik 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 Random Structures & Algorithms 1 L’Enseignement Mathématique. 2e Série 1 Archive for Mathematical Logic 1 Mathematical Logic Quarterly (MLQ) 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Foundations of Science 1 Journal of the Institute of Mathematics of Jussieu 1 Communications in Mathematical Analysis 1 Journal of Noncommutative Geometry 1 Journal of Logic and Analysis 1 Journal de l’École Polytechnique – Mathématiques 1 British Journal for the History of Mathematics
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#### Cited in 26 Fields

 43 Mathematical logic and foundations (03-XX) 23 Functional analysis (46-XX) 8 General topology (54-XX) 7 Combinatorics (05-XX) 7 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Measure and integration (28-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Wikidata Timeline

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