Kenneth Kunen | Academic Influence

Kenneth Kunen's AcademicInfluence.com Rankings

Kenneth Kunen

Mathematics

#547

World Rank

#1053

Historical Rank

#246

USA Rank

Measure Theory

#159

World Rank

#243

Historical Rank

#69

USA Rank

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Mathematics

Kenneth Kunen's Degrees

PhD Mathematics Stanford University
Bachelors Mathematics Princeton University

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Why Is Kenneth Kunen Influential?

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According to Wikipedia, Herbert Kenneth Kunen was a professor of mathematics at the University of Wisconsin–Madison who worked in set theory and its applications to various areas of mathematics, such as set-theoretic topology and measure theory. He also worked on non-associative algebraic systems, such as loops, and used computer software, such as the Otter theorem prover, to derive theorems in these areas.

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Kenneth Kunen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Set theory - an introduction to independence proofs (1983) (1658)
Handbook of Set-Theoretic Topology (1988) (706)
Negation in Logic Programming (1987) (585)
Some applications of iterated ultrapowers in set theory (1970) (220)
Signed Data Dependencies in Logic Programs (1989) (216)
Elementary embeddings and infinitary combinatorics (1971) (175)
Ultrafilters and independent sets (1972) (156)
The Kleene Symposium (1980) (128)
Two More Hereditarily Separable Non-Lindelöf Spaces (1976) (123)
Weak P-Points in N* (1993) (104)
Saturated ideals (1978) (103)
Alternative loop rings (1998) (102)
Some points in βN (1976) (99)
Random and Cohen Reals (1984) (98)
Between Martin's Axiom and Souslin's Hypothesis (1979) (94)
Inaccessibility properties of cardinals (1968) (89)
Boolean extensions and measurable cardinals (1971) (78)
Barely Baire spaces (1978) (71)
A compact L-space under CH (1981) (69)
Answer Sets and Negation-as-Failure (1987) (63)
The structure of conjugacy closed loops (2000) (63)
Some additive properties of sets of real numbers (1981) (61)
Lacunarity and the Bohr topology (1999) (58)
Diassociativity in Conjugacy Closed Loops (2002) (54)
The Foundations of Mathematics (2009) (53)
The structure of extra loops (2004) (49)
Every diassociative A-loop is Moufang (2000) (47)
Some Remarks on the Completed Database (1990) (46)
Martingale proofs of some geometrical results in Banach space theory. (1982) (46)
Descriptive set theory over hyperfinite sets (1989) (45)
Quasigroups, Loops, and Associative Laws (1996) (45)
Baire irresolvable spaces and ideal theory (1986) (41)
On nowhere dense closed $P$-sets (1980) (40)
A Generalization of Moufang and Steiner Loops (2001) (39)
Paracompactness of box products of compact spaces (1978) (37)
Completeness Results for Inequality Provers (1985) (37)
On descendingly incomplete ultrafilters (1971) (35)
Characterizing subgroups of compact abelian groups (2004) (34)
Chromatic numbers and Bohr topologies (2003) (33)
On the open-open game (1994) (32)
Single axioms for groups (1992) (30)
Power-associative, conjugacy closed loops (2005) (30)
Bohr compactifications of discrete structures (1999) (30)
G-Loops and Permutation Groups☆ (1999) (29)
Properties of the Class of Measure Separable Compact Spaces (1994) (29)
Hanf numbers for fragments of ℶh(A) (1971) (28)
The structure of automorphic loops (2012) (28)
Measures on compact HS spaces (1993) (28)
Topologies Determined by -Ideals on ω1 (1978) (28)
Solution of Kuratowski's problem on function having the Baire property, I (1987) (27)
Large Homogeneous Compact Spaces (2001) (27)
STRONG S AND L SPACES UNDER MA (1977) (24)
Limits in Function Spaces and Compact Groups (2003) (23)
XVI. A model for the negation of the axiom of choice (1973) (22)
Seven characterizations of non-meager P-filters (2013) (21)
Measures on Corson compact spaces (1995) (21)
Borel and projective sets from the point of view of compact sets (1983) (20)
Implicit definability and infinitary languages (1968) (20)
Bohr topologies and partition theorems for vector spaces (1998) (20)
A compact homogeneous S-space (2003) (19)
Locally compact linearly Lindelöf spaces (2002) (19)
Limits in the uniform ultrafilters (2001) (18)
On the GCH At Measurable Cardinals (1971) (18)
L-spaces and S-spaces in P(ω)☆ (1982) (18)
There Can be C * -Embedded Dense Proper Subspaces in ?- ω (1989) (17)
Single axioms for odd exponent groups (1995) (17)
On a combinatorial property of menas related to the partition property for measures on supercompact cardinals (1983) (15)
Partitioning Euclidean space (1987) (14)
The real line in elementary submodels of set theory (2000) (13)
Review: Paul J. Cohen, Set Theory and the Continuum Hypothesis (1970) (13)
Limits in Compact Abelian Groups (2004) (13)
A Ramsey theorem in Boyer-Moore logic (1995) (12)
The semantics of answer literals (1996) (11)
Hausdorff measures and two point set extensions (1998) (11)
Maximal σ-independent families (1983) (11)
Two remarks about analytic sets (1989) (11)
The shortest single axioms for groups of exponent 4 (1995) (11)
Attaining the spread at cardinals of cofinality $\omega $. (1977) (10)
Compact spaces, compact cardinals, and elementary submodels (2003) (10)
Bohr topologies and compact function spaces (2002) (9)
Small Locally Compact Linearly Lindelof Spaces (2004) (9)
The power set of ω Elementary submodels and weakenings of CH (2001) (9)
Locally connected hereditarily Lindelöf compacta (2011) (8)
Properties of the Class of Measure Separable Spaces (1995) (8)
The Complex Stone{Weierstrass Property (2003) (8)
Where MA first fails (1988) (8)
Inverse Limits and Function Algebras (2005) (8)
PROJECTIVE COVERS OF ORDINAL SUBSPACES (1978) (8)
Polynomial-time compression (2005) (7)
Transfinite sequences of continuous and Baire class 1 functions (2002) (7)
Locally constant functions (1995) (7)
On the weight of Hausdorff spaces (1973) (7)
Declarative Semantics of Logic Programming (1991) (7)
Arcs in the plane (2009) (6)
Essentially unbounded chains in compact sets (1991) (6)
Matrices and Ultrafilters (2002) (6)
On the Structure and Complexity of Infinite Sets with Minimal Perfect Hash Functions (1991) (5)
Complex function algebras and removable spaces (2003) (5)
Annual meeting of the Association for Symbolic Logic, Saint Louis, 1977 (1978) (5)
On ordinal-metric intersection topologies (1986) (5)
Nonconstructive Computational Mathematics (1998) (5)
Dissipated Compacta (2007) (5)
A minimal degree which collapses ω1 (1984) (5)
Arc components in metric continua (1982) (4)
Box products of ordered spaces (1985) (4)
Strongly right alternative rings and Bol loops (2005) (4)
On the regularity of the topology of separate continuity ? ? The authors were supported by NSF Grant (2002) (4)
Rigid P-spaces (1989) (4)
Existentially Closed Locally Finite p-Groups (2003) (4)
Spaces with No S or L Subspaces (2017) (4)
Some points in spaces of small weight (2002) (3)
Forcing and Differentiable Functions (2012) (3)
Ordered Spaces, Metric Preimages, and Function Algebras (2005) (3)
Weak measure extension axioms (1998) (3)
First Countable Continua and Proper Forcing (2006) (3)
Induced ideals in Cohen and random extensions (2014) (2)
Normality and paracompactness in box products (1990) (1)
Super properties and net weight (2020) (1)
Irredundant Sets in Atomic Boolean Algebras (2013) (1)
Ultra Strong S-Spaces (2017) (1)
Compacta and their function spaces (2015) (1)
Carnegie Mellon University, Pittsburgh, PA May 19–23, 2004 (2005) (1)
Forcing Differentiable Functions (2009) (1)
On subclasses of weak Asplund spaces (2004) (1)
On inhomogeneity of products of compact F-spaces (1988) (1)
Gregory trees, the continuum, and Martin's axiom (2008) (1)
Homeomorphisms with Small Twist (2012) (1)
Locally Connected HL Compacta (2008) (1)
Compact scattered spaces in forcing extensions (2004) (1)
D ec 2 00 4 Characterizing Subgroups of Compact Abelian Groups (2008) (0)
Measures on compact HS spaces by Mirna (0)
J ul 2 00 4 THE STRUCTURE OF EXTRA LOOPS (0)
The Impact of Paul Erdős on Set Theory (2013) (0)
Review: Thomas Jech, Set theory (1980) (0)
The Kleene Symposium: Proceedings of the Symposium Held June 18-24, 1978 at Madison, Wisconsin, U.S.A. (1981) (0)
Cohen Paul J.. Set theory and the continuum hypothesis. W. A. Benjamin, Inc., New York and Amsterdam 1966, vi + 154 pp. (1970) (0)
Kunen the Expositor (2021) (0)
Mathematical Proceedings of the Cambridge Philosophical Society Some points in (2007) (0)
In Memory of Ken Kunen Mirna Dˇzamonja, Joan Hart, Andrea Medini, and Andr´es Villaveces (2022) (0)
Super Duper Properties ∗ (2021) (0)
A pr 2 00 4 THE STRUCTURE OF EXTRA LOOPS (0)
Review: J. R. Shoenfield, Measurable Cardinals (1975) (0)
Fe b 20 03 Limits in Function Spaces and Compact Groups ∗ (2008) (0)
M ay 2 01 0 Forcing and Differentiable Functions ∗ (2010) (0)
Measures on Compact HS SpacesMirna (1994) (0)
HAUSDORFF MEASURES ANDTWO POINT SET (1996) (0)
3 0 Ju l 2 00 5 STRONGLY RIGHT ALTERNATIVE RINGS AND BOL LOOPS (2005) (0)
Forcing and Differentiable Functions (2011) (0)
Continuous Maps on Aronszajn Trees (2011) (0)
Notes on Set Theory. By Yiannis N. Moschovakis (1996) (0)
A Minimal Degree Which Collapses omega1 (1984) (0)
A completeness result for linked resolution (1997) (0)
G N ] 9 A ug 2 00 4 Limits in Compact Abelian Groups ∗ (2018) (0)
Guide to Part B: Set Theory (1977) (0)
The Kleene symposium and the summer meeting of the Association for Symbolic Logic, Madison 1978 (1979) (0)
Topology Proceedings 3 (1978) pp. 407-428: PROJECTIVE COVERS OF ORDINAL SUBSPACES (2007) (0)
Topology Proceedings (2008) (0)
Continuous Maps on Aronszajn Trees (2010) (0)
A Tribute to Paul Erdős: On σ-centered posets (1990) (0)
Enderton Herbert B.. Elements of set theory. Academic Press, New York, San Francisco, and London, 1977, xiv + 279 pp. (1981) (0)
Managing editors D. Van Dalen Y. Gurevich J. hartmanis (1984) (0)
Locally Constant (1995) (0)
A Combinatorial Property of p κ λ.The Partition Property for Certain Extendible Measures on Supercompact Cardinals.On a Combinatorial Property of Menas Related to the Partition Property for Measures on Supercompact Cardinals.Supercompact Cardinals, Trees of Normal Ultrafilters, and the Partition Pro (1991) (0)
Orthogonal Continuous Functions (1999) (0)
PARACOMPACTNESS OF BOX PRODUCTS OF COMPACT SPACES 1 (2010) (0)
A ug 2 00 4 Limits in Compact Abelian Groups ∗ (2008) (0)
G R ] 2 0 Se p 20 02 Diassociativity in Conjugacy Closed Loops (2008) (0)
MANSFIELD AND SOLOVAY TYPE RESULTS ON COVERING PLANE SETS BY LINES (2004) (0)

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