John R. Isbell | Academic Influence

John R. Isbell's AcademicInfluence.com Rankings

John R. Isbell

Mathematics

#1291

World Rank

#2158

Historical Rank

#535

USA Rank

Measure Theory

#914

World Rank

#1196

Historical Rank

#341

USA Rank

mathematics Degrees

Download Badge

Mathematics

John R. Isbell's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is John R. Isbell Influential?

(Suggest an Edit or Addition)

According to Wikipedia, John Rolfe Isbell was an American mathematician, for many years a professor of mathematics at the University at Buffalo . Biography Isbell was born in Portland, Oregon, the son of an army officer from Isbell, a town in Franklin County, Alabama. He attended several undergraduate institutions, including the University of Chicago, where professor Saunders Mac Lane was a source of inspiration. He began his graduate studies in mathematics at Chicago, briefly studied at Oklahoma A&M University and the University of Kansas, and eventually completed a Ph.D. in game theory at Princeton University in 1954 under the supervision of Albert W. Tucker. After graduation, Isbell was drafted into the U.S. Army, and stationed at the Aberdeen Proving Ground. In the late 1950s he worked at the Institute for Advanced Study in Princeton, New Jersey, from which he then moved to the University of Washington and Case Western Reserve University. He joined the University at Buffalo in 1969, and remained there until his retirement in 2002.

(See a Problem?)

John R. Isbell'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

Atomless Parts of Spaces. (1972) (430)
Six theorems about injective metric spaces (1964) (374)
Some Properties of Compactifications (1958) (192)
A class of simple games (1958) (180)
Reports of the Midwest Category Seminar I (1967) (145)
Epimorphisms and dominions. II (1967) (106)
A CLASS OF MAJORITY GAMES (1956) (102)
SOME OPERATORS ON UNIFORM SPACES (1959) (95)
Epimorphisms and dominions, V (1973) (89)
Lattice-ordered rings and function rings. (1962) (88)
Residue class fields of lattice-ordered algebras (1961) (88)
Function spaces and adjoints. (1975) (87)
Subobjects, adequacy, completeness and categories of algebras (1964) (85)
Algebras of Uniformly Continuous Functions (1958) (85)
Epimorphisms and Dominions. IV (1969) (78)
Structure of categories (1966) (76)
Projection constants and spaces of continuous functions (1963) (70)
On the enumeration of majority games (1959) (59)
THE CATEGORY OF COFINAL TYPES. I (1965) (56)
General Functorial Semantics, I (1972) (54)
Completion of a construction of Johnstone (1982) (51)
Some Remarks Concerning Categories and Subspaces (1957) (48)
An optimal search pattern (1957) (45)
First steps in descriptive theory of locales (1991) (43)
On finite-dimensional uniform spaces. II (1959) (43)
General function spaces, products and continuous lattices (1986) (43)
Uniform neighborhood retracts (1961) (40)
local connectedness in the Stone-Čech compactification (1957) (39)
Embeddings of Inverse Limits (1959) (36)
Injective envelopes of Banach spaces are rigidly attached (1964) (30)
SOME PROPERTIES OF STRONG UNIFORMITIES (1960) (29)
On a Problem of Robbins (1959) (29)
Perfect monoids (1971) (28)
On coherent algebras and strict algebras (1969) (26)
Homogeneous games. II (1960) (26)
Generating the algebraic theory ofC(X) (1982) (23)
Zero-dimensional spaces (1955) (23)
Remarks on localic groups (1988) (22)
Seven Cofinal Types (1972) (21)
3. FINITARY GAMES (1958) (21)
Aspects of topology: Graduation and dimension in locales (1985) (20)
Product spaces in locales (1981) (20)
On the Continuity of the Real Roots of an Algebraic Equation (1953) (19)
Small Adequate Subcategories (1968) (18)
Insufficiency of the hyperspace (1966) (18)
Epimorphisms and Dominions, III (1968) (17)
An inequality for incidence matrices (1959) (16)
Notes on ordered rings (1971) (16)
A modification of Harsanyi's bargaining model (1960) (16)
Two set-theoretical theorems in categories (1964) (16)
ON FINITE-DIMENSIONAL UNIFORM SPACES (2004) (15)
Birkhoff’s problem 111 (1955) (15)
Three remarks on injective envelopes of Banach spaces (1969) (14)
Euclidean and weak uniformities (1958) (14)
Direct limits of meet-continuous lattices (1982) (14)
On the multiplicative semigroup of commutative ring (1959) (11)
Mazur's theorem (1962) (10)
A counterexample in weighted majority games (1969) (10)
Irreducible polyhedral expansions (1961) (10)
On dissolute spaces (1991) (10)
Pursuit around a hole (1967) (10)
Review: R. J. Aumann and L. S. Shapley, Values of non-atomic games (1975) (10)
Two examples in varieties of monoids (1970) (10)
Spaces without Large Projective Subspaces. (1965) (9)
Averages of Continuous Functions on Countable Spaces (1964) (9)
Natural sums and abelianizing (1964) (9)
Euclidean covers of topological spaces (1960) (9)
Infinite Doubly Stochastic Matrices (1962) (8)
Normal completions of categories (1967) (8)
Exact Colimits, I (1974) (8)
Some inequalities in hom sets (1991) (8)
On Playing $M_3 $ (1968) (7)
A Definition of Ordinal Numbers (1960) (7)
Embedding two ordered rings in one ordered ring. Part I (1966) (7)
A Note on Exact Colimits (1968) (7)
N(4, 4; 3)≥13 (1969) (6)
A Structure Space for Certain Lattice-Ordered Groups and Rings (1965) (6)
Exact colimits and fixed points (1976) (6)
Functorial implicit operations (1973) (6)
Review: Ales Pultr and Věra Trnková, Combinatorial algebraic and topological representations of groups, semigroups and categories (1982) (6)
The Gordon Game of a Finite Group (1992) (6)
Affine parts of algebraic theories. I (1977) (6)
Perfect addition sets (1978) (5)
Mazur’s theorem on sequentially continuous linear functionals (1963) (5)
Small subcategories and completeness (1968) (5)
A distinguishing example in $k$-spaces (1987) (5)
Natural sums and direct decompositions (1960) (5)
Compatibility and extensions of algebraic theories (1976) (4)
ON THE FRACTIONAL PARTS OF n/j,j = o(n) (1976) (4)
On an Industrial Programming Problem of Kantorovich (1961) (4)
Corrections to: “First steps in descriptive theory of locales” [Trans. Amer. Math. Soc. 327 (1991), no. 1, 353–371; MR1091230 (92b:54078)] (1994) (3)
Structure spaces of lattices (1970) (3)
CORRECTIONS TO "FIRST STEPS IN DESCRIPTIVE THEORY OF LOCALES" (1994) (3)
$s$ admits an injective metric (1971) (3)
A GENERALIZATION OF THE PROBLEM CONCERNING THE EXTREME INTERSECTION POINT OF AN AXIS WITH A CONVEX POLYHEDRON (1958) (3)
Remarks on decompositions of categories (1968) (3)
DIRECTED UNIONS AND CHAINS (1966) (3)
A set whose square can map onto a perfect set (1969) (2)
18. Absolute Games (1959) (2)
Review: Peter T. Johnstone, Stone spaces (1984) (2)
Erratum to: “Generic algebras” [Trans. Amer. Math. Soc. 275 (1983), no. 2, 497–510; MR0682715 (84h:18010)] (1986) (2)
Shorter Notes: Directed Unions and Chains (1966) (2)
On dilution and Cesàro summation (1974) (2)
On a theorem of Richardson (1957) (2)
Polynomials in modules. I. Vector spaces (1988) (2)
Some structure of Borel locales (1998) (1)
A frame with no admissible topology (1983) (1)
A corrected correction (1971) (1)
Problems: 10424-10430 (1995) (1)
Zero sets of polynomials in finite rings (1981) (1)
Notes on semigroup dominions (1974) (1)
Contract law and the value of a game (1967) (1)
Weak Powers and Small-Valued Functors (1982) (1)
Another equivalent form of the axiom of choice (1966) (1)
Zassenhaus' theorem supersedes the Jordan-Hölder theorem (1979) (1)
A class of doubly regular polyhedral surfaces (1986) (1)
Affine Parts of Algebraic Theories II (1978) (1)
A Union of Proper Subspaces?: 10707 (2000) (0)
A freshman calculus proof that real quartics factor (1991) (0)
Mappings into polyhedra (1964) (0)
14. Homogeneous Games, III (1964) (0)
A CLASS OF GAME SOLUTIONS1 (2010) (0)
Problems and Solutions (2000) (0)
A note on complete closure algebras (1969) (0)
Problems and Solutions (2000) (0)
Problems and Solutions (2000) (0)
Limit-preserving embeddings of partially ordered sets in directed sets (1956) (0)
Factorization of Banach Spaces. (1963) (0)
Top AND ITS ADJOINT RELATIVES (2012) (0)
Elementary Problems: E2259-E2264 (1970) (0)
Top AND ITS ADJOINT RELATIVES (2012) (0)
Problems and Solutions (2000) (0)
Fixed Points of Iterated Cyclic Difference Operators: 10676 (2000) (0)
Problems and Solutions (2000) (0)
Apollo, First Commercial Explosives Waste Incinerator in the U.S. - Status and Capability (1994) (0)
The Maclaurin Series for e x (1964) (0)
Problems and Solutions (2000) (0)
On Multiplicative Generators of Commutative Rings (2000) (0)
Note on kω without separation (1991) (0)
Problems and Solutions (2000) (0)
Some closure properties in monoids (1993) (0)
A class of game solutions (1955) (0)
Elementary Problems: E3253-E3258 (1988) (0)
A CLASS OF GAME SOLUTIONS 1 (2010) (0)
Submodules of Free Modules (1981) (0)
Book Review: Cogroups and co-rings in categories of associative rings (1997) (0)
$\mathbf {T}\mathbf {o}\mathbf {p}$ and its adjoint relatives (1971) (0)
Locally fine spaces (1964) (0)
Varieties of Frames (1985) (0)
Review: Kevin A. Broughan, Invariants for real-generated uniform topological and algebraic categories (1977) (0)
Locally finite adequate subcategories (1985) (0)
Erratum to "Generic Algebras" (1986) (0)
Each complexity-two word represents every sufficiently long spike (2001) (0)

This paper list is powered by the following services:

Other Resources About John R. Isbell

en.wikipedia.org

What Schools Are Affiliated With John R. Isbell?

John R. Isbell is affiliated with the following schools: