Steve Jackson | Academic Influence

Steve Jackson 's AcademicInfluence.com Rankings

Steve Jackson

Mathematics

#7456

World Rank

#10135

Historical Rank

#2053

USA Rank

Measure Theory

#4753

World Rank

#5563

Historical Rank

#1322

USA Rank

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Mathematics

Steve Jackson 's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is Steve Jackson Influential?

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According to Wikipedia, Steve Jackson is an American set theorist at the University of North Texas. Much of his most notable work has involved the descriptive set-theoretic consequences of the axiom of determinacy. In particular he is known for having calculated the values of all the projective ordinals under the assumption that the axiom of determinacy holds.

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Steve Jackson '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

The structure of hy-per nite Borel equivalence relations (1994) (245)
Countable Borel Equivalence Relations (2002) (242)
Structural Consequences of AD (2010) (71)
A coloring property for countable groups (2009) (48)
Countable abelian group actions and hyperfinite equivalence relations (2015) (47)
Group Colorings and Bernoulli Subflows (2012) (45)
On a lattice problem of H. Steinhaus (2002) (34)
Advances in Logic (2007) (30)
Følner tilings for actions of amenable groups (2017) (25)
Borel asymptotic dimension and hyperfinite equivalence relations (2020) (18)
Continuous Combinatorics of Abelian Group Actions (2018) (17)
Sets meeting isometric copies of the lattice Z2 in exactly one point (2002) (16)
Survey of the Steinhaus tiling problem (2003) (16)
Canonical measure assignments (2013) (16)
On partitions of lines and space (1994) (16)
Admissible Suslin cardinals in L(R) (1991) (16)
DETERMINACY AND JÓNSSON CARDINALS IN L(ℝ) (2013) (15)
FORCING CONSTRUCTIONS AND COUNTABLE BOREL EQUIVALENCE RELATIONS (2015) (15)
Descriptions and Cardinals below Δ (13)
Hyperfiniteness and Borel combinatorics (2016) (12)
Model theory of abelian groups (1973) (10)
The weak square property (2001) (10)
Supercompactness within the projective hierarchy (2001) (9)
Borel complexity of sets of normal numbers via generic points in subshifts with specification (2018) (9)
Some complexity results in topology and analysis (1992) (8)
On infinite partitions of lines and space (1997) (8)
Definable combinatorics at the first uncountable cardinal (2020) (7)
A new proof of the strong partition relation on (1990) (7)
A computation of δ[1][5] (1999) (7)
On the σ-class generated by open balls (1999) (7)
Pointclasses and well-ordered unions (1983) (6)
MORE DEFINABLE COMBINATORICS AROUND THE FIRST AND SECOND UNCOUNTABLE CARDINAL (2019) (6)
On the unique representation of families of sets (2008) (6)
$AD$ and the very fine structure of $L\left( \mathbb{R} \right)$ (1989) (6)
Games, Scales, and Suslin Cardinals: The Cabal Seminar, Volume I: Suslin cardinals, partition properties, homogeneity. Introduction to Part II (2008) (6)
Cofinality and measurability of the first three uncountable cardinals (2012) (6)
Partition Properties and Well-Ordered Sequences (1990) (5)
A New Proof of the Strong Partition Relation on ω 1Admissible Suslin Cardinals in LA Computation of δ 5 1 (2002) (5)
DETERMINACY AND JÓNSSON CARDINALS IN L(R) (2014) (5)
Cardinality of wellordered disjoint unions of quotients of smooth equivalence relations (2019) (5)
Hausdorff dimension regularity properties and games (2020) (4)
AD AND THE VERY FINE STRUCTURE OF L(R) (2007) (4)
DESCRIPTIONS AND CARDINALS BELOW $\delta _5^1$ (2016) (4)
Nonuniformization results for the projective hierarchy (1991) (4)
Some complexity results in the theory of normal numbers (2016) (4)
The Laczkovich-Komjáth property for coanalytic equivalence relations (2010) (3)
Equivalence of the Rothberger, k-Rothberger, and restricted Menger games (2019) (3)
Følner tilings for actions of amenable groups (2018) (3)
The destruction of the axiom of determinacy by forcings on ℝ when Θ Is regular (2021) (3)
On the complexity of the uniform homeomorphism relation between separable Banach spaces (2009) (3)
L(R) with determinacy satisfies the Suslin hypothesis (2019) (3)
Properties of Classes of Random Graphs (1994) (3)
A note on a theorem of Chiswell (1995) (3)
A non-Borel special alpha-limit set in the square (2020) (3)
AD and J\'onsson cardinals in L(R) (2013) (2)
Equivalence of the Rothberger and $2$-Rothberger Games for Hausdorff Spaces (2018) (2)
The strong partition relation on ω1 revisited (2004) (2)
APPLICATIONS OF INFINITY-BOREL CODES TO DEFINABILITY AND DEFINABLE CARDINALS (2019) (2)
The size of the class of countable sequences of ordinals (2021) (2)
The calculus of partition sequences, changing cofinalities, and a question of Woodin (1999) (2)
Evaluation of Error Metrics for Image Registration of Multiple Images (2010) (1)
The Measure Game (2019) (1)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: Regular cardinals without the weak partition property (2011) (1)
A NEW NOTION OF GENERALIZED CLOSED SETS IN SOFT TOPOLOGICAL SPACES (2016) (1)
Borel measurable selections of Paretian utility functions (1994) (1)
TOWARDS A THEORY OF DEFINABLE SETS (2019) (1)
Advances in logic : the North Texas Logic Conference, October 8-10, 2004, University of North Texas, Denton, Texas (2007) (1)
Equivalence relations and determinacy (2020) (1)
THE COMPLEXITY OF UNIFORM HOMEOMORPHISM (2011) (1)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: Projective ordinals. Introduction to Part IV. (2011) (1)
COUNTABLE LENGTH EVERYWHERE CLUB UNIFORMIZATION (2022) (0)
Hausdorff dimension regularity properties and games (2022) (0)
Complexity and Ramsey Largeness of Sets of Oracles Separating Complexity Classes (2022) (0)
A New Class of Soft Generalized Closed Sets in Soft Topological Spaces (2020) (0)
ATH PROPERTY FOR COANALYTIC EQUIVALENCE RELATIONS (2010) (0)
A computation of partial isomorphism rank on ordinal structures (2006) (0)
An unboundedness property for norms of length (1990) (0)
Countable abelian group actions and hyperfinite equivalence relations (2015) (0)
On the Borel complexity of continued fraction normal, absolutely abnormal numbers (2021) (0)
Restricted Steinhaus sets in the plane (2017) (0)
FEEBLY GENERALIZED LOCALLY CLOSED SETS IN BITOPOLOGICAL SPACES (2020) (0)
The Finite Steinhaus Problem (2016) (0)
Admissibility and Mahloness in L (ℝ) (1992) (0)
Wadge Degrees and Projective Ordinals: The Cabal Seminar, Volume II: Pointclasses and wellordered unions (2011) (0)
A New Notion of Generalized Closed Sets in Topological Spaces (2014) (0)
Borel complexity of sets of points with prescribed Birkhoff averages in Polish dynamical systems with a specification property (2022) (0)
DETERMINACY OF SCHMIDT’S GAME AND OTHER INTERSECTION GAMES (2017) (0)
ON THE CLASS GENERATED BY OPEN BALLS STEVE JACKSON AND R DANIEL MAULDIN (2007) (0)
CH, V=L, Disintegrations of Measures, and {\Pi}^1_1 Sets (2013) (0)
New Class of Star Cont Inuous Functions in Bitopological Spaces (2020) (0)
The no-$\beta$ McMullen game and the perfect set property (2021) (0)
N T ] 8 A ug 2 02 1 ON THE EXISTENCE OF TROTT (2021) (0)
Ch, V = L, Disintegration of Measures, and Π 1 1 Sets (2013) (0)
CH, V = L, disintegration of measures, and ?? sets (2015) (0)
Studies in soft topology Contributions to a new class of soft Generalized closed set (2017) (0)
A classification of ordinals up to Borel isomorphism (2008) (0)
ON PARAMETRIC LIMIT SUPERIOR OF A SEQUENCE OF ANALYTIC SETS (2005) (0)
CONTRIBUTIONS TO DESCRIPTIVE SET THEORY Cody Dance Dissertation Prepared for the Degree of DOCTOR OF PHILOSOPHY UNIVERSITY OF NORTH TEXAS (2016) (0)
On the existence of numbers with matching continued fraction and decimal expansions (2021) (0)
The Destruction of the Axiom of Determinacy by Forcings on $\mathbb{R}$ when $\Theta$ is Regular (2019) (0)
GRAEV METRICS AND ISOMETRY GROUPS OF POLISH ULTRAMETRIC SPACES Xiaohui Shi Dissertation Prepared for the Degree of DOCTOR OF PHILOSOPHY UNIVERSITY OF NORTH TEXAS (2013) (0)
Some Properties of Soft Generalized Open and Closed Sets in Soft Topological Spaces (2021) (0)
The destruction of the axiom of determinacy by forcings on ℝ when Θ Is regular (2021) (0)
DESCRIPTIVE COMPLEXITY IN CANTOR SERIES (2020) (0)
$L(\mathbb{R})$ with Determinacy Satisfies the Suslin Hypothesis (2018) (0)

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