-
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 mathematics, a Lie
groupoid is a
groupoid where the set Ob {\displaystyle \operatorname {Ob} } of
objects and the set Mor {\displaystyle \operatorname...
- 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
abstract algebra, a magma, binar, or, rarely,
groupoid is a
basic kind of
algebraic structure. Specifically, a
magma consists of a set
equipped with...
-
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
abstract algebra, a
central groupoid is an
algebraic structure defined by a
binary operation ⋅ {\displaystyle \cdot } on a set of
elements that satisfies...
- 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...
