Denis Higgs | Academic Influence

Denis Higgs's AcademicInfluence.com Rankings

Denis Higgs

Mathematics

#6009

World Rank

#8390

Historical Rank

Measure Theory

#5316

World Rank

#6289

Historical Rank

mathematics Degrees

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Mathematics

Denis Higgs's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of Oxford

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Why Is Denis Higgs Influential?

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According to Wikipedia, Denis A. Higgs was a British mathematician, Doctor of Mathematics, and professor of mathematics who specialised in combinatorics, universal algebra, and category theory. He wrote one of the most influential papers in category theory entitled A category approach to boolean valued set theory, which introduced many students to topos theory. He was a member of the National Committee of Liberation and was an outspoken critic against the apartheid in South Africa.

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Denis Higgs'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

Strong maps of geometries (1968) (56)
A catalogue of combinatorial geometries (1973) (51)
Matroids and duality (1969) (51)
Injectivity in the Topos of Complete Heyting Algebra Valued Sets (1984) (33)
Directed Abelian Groups, Countably Continuous Rings, and Rickart C*-Algebras (1980) (29)
Nuclearity in the category of complete semilattices (1989) (25)
Equicardinality of Bases in B-Matroids (1969) (14)
Maps of Geometries (1966) (13)
Remarks on residually small varieties (1971) (11)
Lattices isomorphic to their ideal lattices (1971) (8)
A companion to Grillet's Theorem on maximal chains and antichains (1985) (8)
On Products of Transpositions and their Graphs (1979) (6)
A universal characterization of [0,∞] (1978) (5)
Cross-cuts in the power set of an infinite set (1984) (4)
Boolean-valued equivalence relations and complete extensions of complete boolean algebras (1970) (4)
Lattices of crosscuts (1986) (4)
Remarks on duality for Σ-groups: Banach and Hilbert spaces (1989) (2)
MathematicsA universal characterization of [0,∞]☆ (1978) (2)
Σ-Groups as Convergence Groups (1988) (2)
Iterating the Derived Set Function (1983) (2)
Constructions of Σ-groups, relatively free Σ-groups (1989) (1)
Compactness as a type of injectivity (1974) (1)
Origins and basic concepts (1986) (0)
Interpolation antichains in lattices (1985) (0)
Primary Decomposition for Σ-Groups (1988) (0)
Characteristic functions freely generate measurable functions (1981) (0)
Matroids on Complete Boolean Algebras (1970) (0)
CONSTRUCTIONS OF E-GROUPS, RELATIVELY FREE E-GROUPS (2008) (0)

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Other Resources About Denis Higgs

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What Schools Are Affiliated With Denis Higgs?

Denis Higgs is affiliated with the following schools: