-
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
abstract algebra, a magma, binar, or, rarely,
groupoid is a
basic kind of
algebraic structure. Specifically, a
magma consists of a set
equipped with...
- 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...
- this
sense is
called an isomorphism. A
groupoid is a
category in
which every morphism is an isomorphism.
Groupoids are
generalizations of groups, group...
- 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...
- mathematics, a
quantum groupoid is any of a
number of
notions in
noncommutative geometry analogous to the
notion of
groupoid. In
usual geometry, the...
- In
abstract algebra, a
central groupoid is an
algebraic structure defined by a
binary operation ⋅ {\displaystyle \cdot } on a set of
elements that satisfies...
- In mathematics, the
concept of
groupoid algebra generalizes the
notion of
group algebra.
Given a
groupoid ( G , ⋅ ) {\displaystyle (G,\cdot )} (in the...
