Definition of Groupoid. Meaning of Groupoid. Synonyms of Groupoid

Here you will find one or more explanations in English for the word Groupoid. Also in the bottom left of the page several parts of wikipedia pages related to the word Groupoid and, of course, Groupoid synonyms and on the right images related to the word Groupoid.

Definition of Groupoid

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Meaning of Groupoid from wikipedia

- homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group in several equivalent ways. A groupoid can be seen...
- In category theory, a branch of mathematics, an ∞-groupoid is an abstract homotopical model for topological spaces. One model uses Kan complexes which...
- In algebraic topology, the fundamental groupoid is a certain topological invariant of a topological space. It can be viewed as an extension of the more...
- In mathematics, a Lie groupoid is a groupoid where the set Ob{\displaystyle \operatorname {Ob} } of objects and the set Mor{\displaystyle \operatorname...
- In abstract algebra, a magma, binar, or, rarely, groupoid is a basic kind of algebraic structure. Specifically, a magma consists of a set equipped with...
- mathematics, a quantum groupoid is any of a number of notions in noncommutative geometry analogous to the notion of groupoid. In usual geometry, the...
- partial groupoid (also called halfgroupoid, pargoid, or partial magma) is a set endowed with a partial binary operation. A partial groupoid is a partial...
- In mathematics, the Mathieu groupoid M13 is a groupoid acting on 13 points such that the stabilizer of each point is the Mathieu group M12. It was introduced...
- In category theory, a branch of mathematics, a groupoid object is both a generalization of a groupoid which is built on richer structures than sets, and...
- T∗M{\displaystyle T^{*}M} is not always integrable to a Lie groupoid. A symplectic groupoid is a Lie groupoid G⇉M{\displaystyle {\mathcal {G}}\rightrightarrows...