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## Henson, C. Ward

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 Author ID: henson.c-ward Published as: Henson, C. Ward; Henson, C. W. Homepage: https://faculty.math.illinois.edu/~henson/ External Links: MGP · dblp · GND
 Documents Indexed: 64 Publications since 1969, including 1 Book
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#### Co-Authors

 20 single-authored 12 Moore, L. C. jun. 7 Rubel, Lee Albert 4 Ben-Yaacov, Itaï 4 Heinrich, Stefan 4 Raynaud, Yves 3 Berenstein, Alexander 3 Singer, Michael F. 2 Arkeryd, Leif O. 2 Compton, Kevin J. 2 Cutland, Nigel J. 2 Glebsky, Lev Yu. 2 Gordon, Evgeniĭ Izrail’evich 2 Keisler, Howard Jerome 2 van den Dries, Lou 2 Zlatoš, Pavol Ján 1 Becker, Joseph A. 1 Carlisle, Sylvia 1 Iovino, José N. 1 Jockusch, Carl G. jun. 1 Jónsson, Bjarni 1 Kalton, Nigel John 1 Kaufmann, Matt 1 Peck, N. Tenney 1 Resnik, Michael D. 1 Rizzo, Andrew 1 Shelah, Saharon 1 Takeuti, Gaisi 1 Tellez, Hernando 1 Tereščák, Ignác 1 Usvyatsov, Alexander 1 Wattenberg, Frank
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#### Serials

 12 The Journal of Symbolic Logic 6 Transactions of the American Mathematical Society 4 Proceedings of the American Mathematical Society 3 Israel Journal of Mathematics 3 Pacific Journal of Mathematics 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Complex Variables. Theory and Application 2 Annals of Pure and Applied Logic 2 Journal of Logic and Analysis 1 American Mathematical Monthly 1 Studia Mathematica 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Dissertationes Mathematicae 1 Fundamenta Mathematicae 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Revista Colombiana de Matemáticas 1 Archive for Mathematical Logic 1 Positivity 1 Annals of Mathematics. Second Series 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Commentationes Mathematicae
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#### Fields

 47 Mathematical logic and foundations (03-XX) 28 Functional analysis (46-XX) 11 General topology (54-XX) 9 Real functions (26-XX) 6 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 5 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 544 times in 426 Documents Cited by Year
Model theory for metric structures. Zbl 1233.03045
Ben Yaacov, Itaï; Berenstein, Alexander; Henson, C. Ward; Usvyatsov, Alexander
2008
Nonstandard hulls of Banach spaces. Zbl 0348.46014
Henson, C. Ward
1976
A uniform method for proving lower bounds on the computational complexity of logical theories. Zbl 0705.03017
Compton, Kevin J.; Henson, C. Ward
1990
Countable homogeneous relational structures and $$\aleph_0$$-categorical theories. Zbl 0259.02040
Henson, C. Ward
1972
A family of countable homogeneous graphs. Zbl 0204.24103
Henson, C. W.
1971
Ultraproducts in analysis. Zbl 1026.46007
Henson, C. Ward; Iovino, José
2002
Foundations of nonstandard analysis. A gentle introduction to nonstandard extensions. Zbl 0910.03040
Henson, C. Ward
1997
Analytic sets, Baire sets and the standard part map. Zbl 0373.54035
Henson, C. Ward
1979
On the strength of nonstandard analysis. Zbl 0624.03051
Henson, C. Ward; Keisler, H. Jerome
1986
The nonstandard theory of topological vector spaces. Zbl 0254.46001
Henson, C. Ward; Moore, L. C. jun.
1973
A family of countable homogeneous graphs. Zbl 0219.05064
Henson, C. W.
1971
The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces. Zbl 0306.02055
Henson, C. Ward
1975
When do two Banach spaces have isometrically isomorphic nonstandard hulls. Zbl 0314.46023
Henson, C. Ward
1975
Nonstandard analysis: theory and applications. Proceedings of the NATO Advanced Study Institute on nonstandard analysis and its applications, Edinburgh, UK, June 30–July 13, 1996. Zbl 0885.00047
Arkeryd, Leif O. (ed.); Cutland, Nigel J. (ed.); Henson, C. Ward (ed.)
1997
On the nonstandard representation of measures. Zbl 0255.28006
Henson, C. Ward
1973
Subspaces of the nonstandard hull of a normed space. Zbl 0307.46008
Henson, C. Ward; Moore, L. C. jun.
1974
Nonconvergence, undecidability, and intractability in asymptotic problems. Zbl 0632.03037
Compton, Kevin J.; Henson, C. Ward; Shelah, Saharon
1987
Nonstandard hulls of the classical Banach spaces. Zbl 0298.46028
Henson, C. Ward; Moore, L. C. jun.
1974
The strength of nonstandard methods in arithmetic. Zbl 0587.03048
Henson, C. Ward; Kaufmann, Matt; Keisler, H. Jerome
1984
Some applications of Nevanlinna theory to mathematical logic: Identities of exponential functions. Zbl 0533.03015
Henson, C. Ward; Rubel, Lee A.
1984
Model-theoretic independence in the Banach lattices $$L_{p}(\mu)$$. Zbl 1232.46020
Ben Yaacov, Itaï; Berenstein, Alexander; Henson, C. Ward
2011
Nonstandard analysis and the theory of Banach spaces. Zbl 0511.46070
Henson, C. Ward; Moore, L. C. jun.
1983
Generic orbits and type isolation in the Gurarij space. Zbl 1378.46013
Yaacov, Itaï Ben; Henson, C. Ward
2017
Invariance of the nonstandard hulls of locally convex spaces. Zbl 0256.46001
Henson, C. Ward; Moore, L. C. jun.
1973
Analytic mappings on hyperfinite sets. Zbl 0784.03038
Henson, C. Ward; Ross, David
1993
First-order conformal invariants. Zbl 0459.03019
Becker, Joseph; Henson, C. Ward; Rubel, Lee A.
1980
Unbounded Loeb measures. Zbl 0397.28001
Henson, C. Ward
1979
First order topology. Zbl 0399.03019
Henson, C. W.; Jockusch, C. G. jun.; Rubel, L. A.; Takeuti, G.
1977
Finite sets in Quine’s new foundations. Zbl 0191.30102
Henson, C. W.
1969
The nonstandard hulls of a uniform space. Zbl 0245.54046
Henson, C. Ward
1972
On the theory of $$L_p (L_q)$$-Banach lattices. Zbl 1130.46007
Henson, C. Ward; Raynaud, Yves
2007
Egoroff’s theorem and the distribution of standard points in a nonstandard model. Zbl 0481.03044
Henson, C. Ward; Wattenberg, Frank
1981
Type-raising operations on cardinal and ordinal numbers in Quine’s ”New foundations”. Zbl 0259.02049
Henson, C. Ward
1973
Almost indiscernible sequences and convergence of canonical bases. Zbl 1338.03060
Ben Yaacov, Itaï; Berenstein, Alexander; Henson, C. Ward
2014
The Banach spaces $$l_ p(n)$$ for large p and n. Zbl 0523.46050
Henson, C. Ward; Moore, L. C. jun.
1983
The monad system of the finest compatible uniform structure. Zbl 0307.54023
Henson, C. Ward
1975
Algebraic closure in continuous logic. Zbl 1152.03029
Henson, C. Ward; Tellez, Hernando
2007
Algebraic properties of the ring of general exponential polynomials. Zbl 0647.32003
Henson, C. Ward; Rubel, Lee A.; Singer, Michael F.
1989
Quantifier elimination in the theory of $$L_p(L_q)$$-Banach lattices. Zbl 1285.03042
Henson, C. Ward; Raynaud, Yves
2011
Permutation methods applied to Quine’s ”New foundations”. Zbl 0259.02050
Henson, C. Ward
1973
Correction to ”Some applications of Nevanlinna theory to mathematical logic: identities of exponential functions”. Zbl 0584.03019
Henson, C. Ward; Rubel, Lee A.
1986
Asymptotically Hilbertian modular Banach spaces: examples of uncountable categoricity. Zbl 1416.46021
Henson, C. Ward; Raynaud, Yves
2016
Generic orbits and type isolation in the Gurarij space. Zbl 1378.46013
Yaacov, Itaï Ben; Henson, C. Ward
2017
Asymptotically Hilbertian modular Banach spaces: examples of uncountable categoricity. Zbl 1416.46021
Henson, C. Ward; Raynaud, Yves
2016
Almost indiscernible sequences and convergence of canonical bases. Zbl 1338.03060
Ben Yaacov, Itaï; Berenstein, Alexander; Henson, C. Ward
2014
Model-theoretic independence in the Banach lattices $$L_{p}(\mu)$$. Zbl 1232.46020
Ben Yaacov, Itaï; Berenstein, Alexander; Henson, C. Ward
2011
Quantifier elimination in the theory of $$L_p(L_q)$$-Banach lattices. Zbl 1285.03042
Henson, C. Ward; Raynaud, Yves
2011
Model theory for metric structures. Zbl 1233.03045
Ben Yaacov, Itaï; Berenstein, Alexander; Henson, C. Ward; Usvyatsov, Alexander
2008
On the theory of $$L_p (L_q)$$-Banach lattices. Zbl 1130.46007
Henson, C. Ward; Raynaud, Yves
2007
Algebraic closure in continuous logic. Zbl 1152.03029
Henson, C. Ward; Tellez, Hernando
2007
Ultraproducts in analysis. Zbl 1026.46007
Henson, C. Ward; Iovino, José
2002
Foundations of nonstandard analysis. A gentle introduction to nonstandard extensions. Zbl 0910.03040
Henson, C. Ward
1997
Nonstandard analysis: theory and applications. Proceedings of the NATO Advanced Study Institute on nonstandard analysis and its applications, Edinburgh, UK, June 30–July 13, 1996. Zbl 0885.00047
Arkeryd, Leif O.; Cutland, Nigel J.; Henson, C. Ward
1997
Analytic mappings on hyperfinite sets. Zbl 0784.03038
Henson, C. Ward; Ross, David
1993
A uniform method for proving lower bounds on the computational complexity of logical theories. Zbl 0705.03017
Compton, Kevin J.; Henson, C. Ward
1990
Algebraic properties of the ring of general exponential polynomials. Zbl 0647.32003
Henson, C. Ward; Rubel, Lee A.; Singer, Michael F.
1989
Nonconvergence, undecidability, and intractability in asymptotic problems. Zbl 0632.03037
Compton, Kevin J.; Henson, C. Ward; Shelah, Saharon
1987
On the strength of nonstandard analysis. Zbl 0624.03051
Henson, C. Ward; Keisler, H. Jerome
1986
Correction to ”Some applications of Nevanlinna theory to mathematical logic: identities of exponential functions”. Zbl 0584.03019
Henson, C. Ward; Rubel, Lee A.
1986
The strength of nonstandard methods in arithmetic. Zbl 0587.03048
Henson, C. Ward; Kaufmann, Matt; Keisler, H. Jerome
1984
Some applications of Nevanlinna theory to mathematical logic: Identities of exponential functions. Zbl 0533.03015
Henson, C. Ward; Rubel, Lee A.
1984
Nonstandard analysis and the theory of Banach spaces. Zbl 0511.46070
Henson, C. Ward; Moore, L. C. jun.
1983
The Banach spaces $$l_ p(n)$$ for large p and n. Zbl 0523.46050
Henson, C. Ward; Moore, L. C. jun.
1983
Egoroff’s theorem and the distribution of standard points in a nonstandard model. Zbl 0481.03044
Henson, C. Ward; Wattenberg, Frank
1981
First-order conformal invariants. Zbl 0459.03019
Becker, Joseph; Henson, C. Ward; Rubel, Lee A.
1980
Analytic sets, Baire sets and the standard part map. Zbl 0373.54035
Henson, C. Ward
1979
Unbounded Loeb measures. Zbl 0397.28001
Henson, C. Ward
1979
First order topology. Zbl 0399.03019
Henson, C. W.; Jockusch, C. G. jun.; Rubel, L. A.; Takeuti, G.
1977
Nonstandard hulls of Banach spaces. Zbl 0348.46014
Henson, C. Ward
1976
The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces. Zbl 0306.02055
Henson, C. Ward
1975
When do two Banach spaces have isometrically isomorphic nonstandard hulls. Zbl 0314.46023
Henson, C. Ward
1975
The monad system of the finest compatible uniform structure. Zbl 0307.54023
Henson, C. Ward
1975
Subspaces of the nonstandard hull of a normed space. Zbl 0307.46008
Henson, C. Ward; Moore, L. C. jun.
1974
Nonstandard hulls of the classical Banach spaces. Zbl 0298.46028
Henson, C. Ward; Moore, L. C. jun.
1974
The nonstandard theory of topological vector spaces. Zbl 0254.46001
Henson, C. Ward; Moore, L. C. jun.
1973
On the nonstandard representation of measures. Zbl 0255.28006
Henson, C. Ward
1973
Invariance of the nonstandard hulls of locally convex spaces. Zbl 0256.46001
Henson, C. Ward; Moore, L. C. jun.
1973
Type-raising operations on cardinal and ordinal numbers in Quine’s ”New foundations”. Zbl 0259.02049
Henson, C. Ward
1973
Permutation methods applied to Quine’s ”New foundations”. Zbl 0259.02050
Henson, C. Ward
1973
Countable homogeneous relational structures and $$\aleph_0$$-categorical theories. Zbl 0259.02040
Henson, C. Ward
1972
The nonstandard hulls of a uniform space. Zbl 0245.54046
Henson, C. Ward
1972
A family of countable homogeneous graphs. Zbl 0204.24103
Henson, C. W.
1971
A family of countable homogeneous graphs. Zbl 0219.05064
Henson, C. W.
1971
Finite sets in Quine’s new foundations. Zbl 0191.30102
Henson, C. W.
1969
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#### Cited by 361 Authors

 18 Henson, C. Ward 17 Ben-Yaacov, Itaï 16 Goldbring, Isaac 15 Jin, Renling 14 Farah, Ilijas 12 Keisler, Howard Jerome 10 Kanovei, Vladimir G. 9 Shelah, Saharon 8 Lohrey, Markus 8 Lupini, Martino 8 Moore, L. C. jun. 8 Živaljević, Boško 7 Bankston, Paul 7 Hart, Bradd T. 6 Reeken, Michael 6 Rubel, Lee Albert 6 Sun, Yeneng 5 Cameron, Peter Jephson 5 Cherlin, Gregory L. 5 Di Nasso, Mauro 5 Ibarlucía, Tomás 5 Iovino, José N. 5 Leth, Steven C. 5 Raynaud, Yves 5 Scowcroft, Philip 4 Bagheri, Seyed Mohammad 4 Baratella, Stefano 4 Berenstein, Alexander 4 Grädel, Erich 4 Ivanov, Aleksander A. 4 Katz, Mikhail G. 4 Kuske, Dietrich 4 Lieberman, Michael Joseph 4 Macpherson, Dugald 4 Rosický, Jiří 4 Sauer, Norbert W. 4 Usvyatsov, Alexander 4 Zlatoš, Pavol Ján 3 Ackerman, Nathanael Leedom 3 Andrews, Uri 3 Benci, Vieri 3 Bottazzi, Emanuele 3 Cabello Sánchez, Félix 3 Conant, Gabriel 3 El-Zahar, Mohamed H. 3 Giordano, Paolo Robuffo 3 Kurilić, Miloš S. 3 Lachlan, Alistair H. 3 Macpherson, Hugh Dugald 3 Mašulović, Dragan 3 Maurin, Françoise 3 Pestov, Vladimir G. 3 Pourmahdian, Massoud 3 Render, Hermann 3 Tsankov, Todor 3 Vasey, Sebastien 3 Vignati, Alessandro 3 Wiśnicki, Andrzej 2 Aldaz, Jésus Munárriz 2 Argoty, Camilo 2 Aviles Lopez, Antonio 2 Bellenot, Steven F. 2 Bodor, Bertalan 2 Bonato, Anthony 2 Briseid, Eyvind Martol 2 Cegielski, Patrick 2 Compton, Kevin J. 2 Coskey, Samuel 2 Cutland, Nigel J. 2 Dobrinen, Natasha L. 2 Dolinka, Igor 2 Eagle, Christopher J. 2 Emel’yanov, Èduard Yur’evich 2 Gardella, Eusebio 2 Gordon, Evgeniĭ Izrail’evich 2 Hamel, Clovis 2 Heinrich, Stefan 2 Hirshberg, Ilan 2 Hirvonen, Åsa 2 Hyttinen, Tapani 2 Kohlenbach, Ulrich Wilhelm 2 Koponen, Vera 2 Körner, Friederike 2 Kubiś, Wiesław 2 Kudryk, Taras S. 2 Kutateladze, Semën Samsonovich 2 Laflamme, Claude 2 Latka, Brenda J. 2 Loeb, Peter A. 2 Makowsky, Johann-Andreas 2 Mbombo, Brice R. 2 McNicholl, Timothy H. 2 Melleray, Julien 2 Michel, Pascal 2 Ng, Siu-Ah 2 Richard, Denis 2 Rodl, Vojtech 2 Rubio, Julio E. 2 Safarik, Pavol 2 Sherry, David M. ...and 261 more Authors
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#### Cited in 100 Serials

 47 The Journal of Symbolic Logic 46 Annals of Pure and Applied Logic 25 Transactions of the American Mathematical Society 24 Proceedings of the American Mathematical Society 20 Israel Journal of Mathematics 19 Archive for Mathematical Logic 18 Advances in Mathematics 11 Journal of Functional Analysis 11 The Bulletin of Symbolic Logic 7 Discrete Mathematics 7 Theoretical Computer Science 7 Topology and its Applications 7 Mathematical Logic Quarterly (MLQ) 6 Studia Logica 6 Journal of Logic and Analysis 5 Algebra Universalis 5 Fundamenta Mathematicae 5 Journal of Combinatorial Theory. Series A 5 Notre Dame Journal of Formal Logic 5 European Journal of Combinatorics 5 Journal of Mathematical Logic 4 Journal of Combinatorial Theory. Series B 4 Information and Computation 4 Random Structures & Algorithms 3 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Siberian Mathematical Journal 3 Graphs and Combinatorics 3 Indagationes Mathematicae. New Series 3 Positivity 3 Logica Universalis 2 Information Processing Letters 2 Illinois Journal of Mathematics 2 Journal of Computer and System Sciences 2 Journal of Graph Theory 2 Journal of Mathematical Economics 2 Journal of Number Theory 2 Monatshefte für Mathematik 2 Ergodic Theory and Dynamical Systems 2 Combinatorica 2 International Journal of Foundations of Computer Science 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Annals of Mathematics and Artificial Intelligence 2 Matematychni Studiï 2 Journal of the Institute of Mathematics of Jussieu 2 Logic and Analysis 2 Confluentes Mathematici 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Journal of the Franklin Institute 1 Mathematical Notes 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Theory and Decision 1 Mathematical Social Sciences 1 Order 1 Optimization 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques 1 International Journal of Algebra and Computation 1 Games and Economic Behavior 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 RAIRO. Informatique Théorique et Applications 1 Journal of Algebraic Combinatorics 1 Applied Categorical Structures 1 Journal de Théorie des Nombres de Bordeaux 1 Russian Journal of Mathematical Physics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Functional Programming 1 Selecta Mathematica. New Series 1 Soft Computing 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Foundations of Science 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Journal of Noncommutative Geometry 1 Commentationes Mathematicae 1 Forum of Mathematics, Sigma 1 Computer Science Review 1 Nonlinear Analysis. Theory, Methods & Applications 1 Open Mathematics 1 Advances in Operator Theory
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#### Cited in 43 Fields

 328 Mathematical logic and foundations (03-XX) 88 Functional analysis (46-XX) 61 Combinatorics (05-XX) 61 General topology (54-XX) 37 Computer science (68-XX) 34 Real functions (26-XX) 33 Measure and integration (28-XX) 25 Group theory and generalizations (20-XX) 23 Number theory (11-XX) 22 Topological groups, Lie groups (22-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 19 Probability theory and stochastic processes (60-XX) 15 Operator theory (47-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 General algebraic systems (08-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Field theory and polynomials (12-XX) 8 Category theory; homological algebra (18-XX) 5 Functions of a complex variable (30-XX) 4 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)