• Thumbnail for Isomorphism
    an isomorphism from a structure to itself. An isomorphism between two structures is a canonical isomorphism (a canonical map that is an isomorphism) if...
    19 KB (2,735 words) - 08:39, 14 May 2025
  • Look up isomorphism or isomorph in Wiktionary, the free dictionary. Isomorphism or isomorph may refer to: Isomorphism, in mathematics, logic, philosophy...
    1 KB (200 words) - 19:22, 13 July 2022
  • the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces that respects uniform...
    2 KB (265 words) - 20:16, 8 January 2025
  • mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship...
    25 KB (3,601 words) - 16:37, 7 March 2025
  • Thumbnail for Graph isomorphism
    in accordance with the general notion of isomorphism being a structure-preserving bijection. If an isomorphism exists between two graphs, then the graphs...
    13 KB (1,637 words) - 18:05, 26 May 2025
  • branch of mathematics, the isomorphism extension theorem is an important theorem regarding the extension of a field isomorphism to a larger field. The theorem...
    1 KB (129 words) - 07:30, 25 June 2020
  • Thumbnail for Graph isomorphism problem
    science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph isomorphism problem is the computational...
    41 KB (4,222 words) - 10:06, 27 May 2025
  • graph isomorphism. Fractional isomorphism is the coarsest of several different relaxations of graph isomorphism. Whereas the graph isomorphism problem...
    4 KB (415 words) - 00:51, 29 July 2024
  • specifically, in differential geometry—the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle T M {\displaystyle \mathrm...
    20 KB (4,149 words) - 16:33, 13 May 2025
  • In mathematics, a Borel isomorphism is a measurable bijective function between two standard Borel spaces. By Souslin's theorem in standard Borel spaces...
    2 KB (200 words) - 00:25, 9 January 2023
  • Isomorphism problem may refer to: graph isomorphism problem group isomorphism problem isomorphism problem of Coxeter groups This disambiguation page lists...
    162 bytes (48 words) - 05:04, 7 March 2025
  • that subgraph isomorphism remains NP-complete even in the planar case. Subgraph isomorphism is a generalization of the graph isomorphism problem, which...
    15 KB (1,857 words) - 22:39, 6 February 2025
  • bijective correspondence. Thus, the definition of an isomorphism is quite natural. An isomorphism of groups may equivalently be defined as an invertible...
    12 KB (2,043 words) - 06:23, 21 December 2024
  • institutional isomorphism and collective rationality in organizational fields. The term is borrowed from the mathematical concept of isomorphism. Isomorphism in...
    9 KB (1,031 words) - 00:24, 25 May 2025
  • of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets...
    8 KB (1,061 words) - 17:31, 22 December 2024
  • The term isomorphism literally means sameness (iso) of form (morphism). In Gestalt psychology, Isomorphism is the idea that perception and the underlying...
    3 KB (369 words) - 20:09, 9 February 2023
  • Thumbnail for Homeomorphism
    Diffeomorphism – Isomorphism of differentiable manifolds Uniform isomorphism – Uniformly continuous homeomorphism is an isomorphism between uniform spaces...
    13 KB (1,640 words) - 00:29, 27 February 2025
  • Thumbnail for Isomorphism (crystallography)
    different sizes of the atoms involved. Mitscherlich's law of isomorphism, or the law of isomorphism, is an approximate law suggesting that crystals composed...
    5 KB (549 words) - 19:09, 20 March 2024
  • isomorphism entails elementary equivalence, however the converse is not generally true, but it holds for ω-saturated models. A potential isomorphism between...
    2 KB (192 words) - 02:18, 17 November 2019
  • {\displaystyle \eta _{X}} is an isomorphism in D {\displaystyle D} , then η {\displaystyle \eta } is said to be a natural isomorphism (or sometimes natural equivalence...
    35 KB (5,962 words) - 12:53, 28 May 2025
  • geometric version of the Satake isomorphism, proved by Ivan Mirković and Kari Vilonen (2007). Classical Satake isomorphism. Let G {\displaystyle G} be a...
    6 KB (863 words) - 16:19, 10 April 2025
  • notion of computability on a set. By the Myhill isomorphism theorem, the relation of computable isomorphism coincides with the relation of mutual one-one...
    1 KB (180 words) - 20:09, 27 March 2024
  • An isomorph is an organism that does not change in shape during growth. The implication is that its volume is proportional to its cubed length, and its...
    2 KB (266 words) - 10:54, 28 January 2024
  • Thom space (redirect from Thom isomorphism)
    B} be a real vector bundle of rank n. Then there is an isomorphism called a Thom isomorphism Φ : H k ( B ; Z 2 ) → H ~ k + n ( T ( E ) ; Z 2 ) , {\displaystyle...
    13 KB (1,983 words) - 18:16, 2 December 2024
  • two are isometrically anti-isomorphic. The (anti-) isomorphism is a particular natural isomorphism. Let H {\displaystyle H} be a Hilbert space over a...
    75 KB (12,630 words) - 21:25, 29 January 2025
  • In mathematics, an exceptional isomorphism, also called an accidental isomorphism, is an isomorphism between members ai and bj of two families, usually...
    7 KB (641 words) - 09:20, 26 May 2025
  • isomorphism problem is the decision problem of determining whether two given finite group presentations refer to isomorphic groups. The isomorphism problem...
    6 KB (633 words) - 03:35, 24 March 2025
  • identical and differ only in the notation of their objects and morphisms. Isomorphism of categories is a very strong condition and rarely satisfied in practice...
    5 KB (755 words) - 15:45, 11 April 2025
  • graph theory, the Weisfeiler Leman graph isomorphism test is a heuristic test for the existence of an isomorphism between two graphs G and H. It is a generalization...
    10 KB (1,069 words) - 01:53, 21 April 2025
  • homomorphism. If a linear map is a bijection then it is called a linear isomorphism. In the case where V = W {\displaystyle V=W} , a linear map is called...
    43 KB (7,001 words) - 09:24, 10 March 2025