• it is a cohomology theory known as topological K-theory. In algebra and algebraic geometry, it is referred to as algebraic K-theory. It is also a fundamental...
    26 KB (4,338 words) - 02:08, 28 September 2024
  • Thumbnail for R/K selection theory
    In ecology, r/K selection theory relates to the selection of combinations of traits in an organism that trade off between quantity and quality of offspring...
    30 KB (3,152 words) - 15:45, 9 September 2024
  • Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic...
    76 KB (10,383 words) - 14:00, 30 September 2024
  • In string theory, K-theory classification refers to a conjectured application of K-theory (in abstract algebra and algebraic topology) to superstrings...
    23 KB (3,013 words) - 22:49, 7 May 2024
  • In mathematics, topological K-theory is a branch of algebraic topology. It was founded to study vector bundles on topological spaces, by means of ideas...
    9 KB (1,349 words) - 02:10, 28 September 2024
  • In mathematics, Milnor K-theory is an algebraic invariant (denoted K ∗ ( F ) {\displaystyle K_{*}(F)} for a field F {\displaystyle F} ) defined by John...
    21 KB (3,847 words) - 14:54, 23 June 2024
  • K theory is a debunked hypothesis first proposed by Canadian psychologist J. Philippe Rushton in 1985, which attempts to apply r/K selection theory to...
    4 KB (391 words) - 23:03, 13 July 2024
  • Thumbnail for C-K theory
    C-K design theory or concept-knowledge theory is both a design theory and a theory of reasoning in design. It defines design reasoning as a logic of expansion...
    14 KB (1,650 words) - 02:42, 20 August 2023
  • operator K-theory is a noncommutative analogue of topological K-theory for Banach algebras with most applications used for C*-algebras. Operator K-theory resembles...
    4 KB (526 words) - 18:30, 8 November 2022
  • K Theory is an electronic hip-hop act by Dylan Lewman, which formerly included Dustin Musser and Malcolm Anthony. The group was founded by Dylan Lewman...
    4 KB (188 words) - 12:57, 16 January 2024
  • In stable homotopy theory, a branch of mathematics, Morava K-theory is one of a collection of cohomology theories introduced in algebraic topology by Jack...
    3 KB (406 words) - 18:26, 29 March 2024
  • denoted ψk for natural numbers k, is a cohomology operation in topological K-theory, or any allied operation in algebraic K-theory or other types of algebraic...
    4 KB (448 words) - 01:57, 21 February 2024
  • Thumbnail for Michael Atiyah
    contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004. Atiyah...
    83 KB (8,795 words) - 12:37, 7 October 2024
  • Intersection theory — Invariant theory — Iwasawa theoryK-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood–Paley theory — Matrix theory —...
    38 KB (4,356 words) - 22:54, 24 August 2024
  • In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called...
    123 KB (15,355 words) - 01:55, 7 October 2024
  • In mathematics, rigidity of K-theory encompasses results relating algebraic K-theory of different rings. Suslin rigidity, named after Andrei Suslin, refers...
    4 KB (535 words) - 15:13, 6 July 2021
  • In mathematics, given a ring R, the K-theory spectrum of R is an Ω-spectrum K R {\displaystyle K_{R}} whose nth term is given by, writing Σ R {\displaystyle...
    674 bytes (104 words) - 01:40, 26 August 2020
  • In mathematics, additive K-theory means some version of algebraic K-theory in which, according to Spencer Bloch, the general linear group GL has everywhere...
    1 KB (218 words) - 07:43, 16 February 2024
  • year. In Twisted K-theory and the K-theory of Bundle Gerbes the authors defined modules of bundle gerbes and used this to define a K-theory for bundle gerbes...
    7 KB (959 words) - 02:07, 5 September 2024
  • In solid-state physics, the k·p perturbation theory is an approximated semi-empirical approach for calculating the band structure (particularly effective...
    12 KB (1,975 words) - 11:29, 25 March 2024
  • In algebraic K-theory, the K-theory of a category C (usually equipped with some kind of additional data) is a sequence of abelian groups Ki(C) associated...
    12 KB (1,664 words) - 06:08, 21 August 2024
  • equivariant K-theory refers to either equivariant algebraic K-theory, an equivariant analog of algebraic K-theory equivariant topological K-theory, an equivariant...
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  • M-theory is a theory in physics that unifies all consistent versions of superstring theory. Edward Witten first conjectured the existence of such a theory...
    62 KB (7,723 words) - 11:20, 1 September 2024
  • American-Canadian mathematician known for his contributions to algebraic K-theory and the development of condensed mathematics, in collaboration with Peter...
    5 KB (287 words) - 05:36, 21 August 2024
  • Thumbnail for Vector bundle
    [B]=[A]+[C]} in topological K-theory. KO-theory is a version of this construction which considers real vector bundles. K-theory with compact supports can...
    31 KB (4,089 words) - 16:41, 9 April 2024
  • algebraic L-theory is the K-theory of quadratic forms; the term was coined by C. T. C. Wall, with L being used as the letter after K. Algebraic L-theory, also...
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  • Thumbnail for Group theory
    In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...
    40 KB (5,207 words) - 11:00, 6 October 2024
  • mathematics, twisted K-theory (also called K-theory with local coefficients) is a variation on K-theory, a mathematical theory from the 1950s that spans...
    12 KB (1,905 words) - 03:19, 10 April 2023
  • Bosonic string theory is the original version of string theory, developed in the late 1960s and named after Satyendra Nath Bose. It is so called because...
    13 KB (1,602 words) - 00:27, 9 October 2024
  • discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...
    190 KB (19,530 words) - 02:44, 11 October 2024