Information om | Engelska ordet GROUPOID

Exempel på hur man kan använda GROUPOID i en mening

• In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group in several equivalent ways.
• Nevertheless, influential books in semigroup theory, including Clifford and Preston (1961) and Howie (1995) use groupoid in the sense of Hausmann and Ore.
• The main result is that for discontinuous actions of a group G on a Hausdorff space X which admits a universal cover, then the fundamental groupoid of the orbit space X/G is isomorphic to the orbit groupoid of the fundamental groupoid of X, i.
• The composition laws for a double groupoid D make it also describable as a groupoid internal to the category of groupoids.
• It was first made precise semantically in the 1994 paper of Martin Hofmann and Thomas Streicher called "The groupoid model refutes uniqueness of identity proofs", in which they showed that intensional type theory had a model in the category of groupoids.
• A stack is a groupoid fibration satisfied further glueing properties, expressed in terms of descent.
• "Re-gauging groupoid, symmetries and degeneracies for Graph Hamiltonians and applications to the Gyroid wire network".
• Hopf algebroid - encodes the data of quasi-coherent sheaves on a prestack presentable as a groupoid internal to affine schemes (or projective schemes using graded Hopf algebroids).
• As Brame emphasized, this approach relies on a non-associative groupoid structure with inverses to represent the interactions of lexical items (words and phrases), or lexes for short.
• In the matrix view of central groupoids, the idempotent elements form the 1s on the main diagonal of a matrix representing the groupoid.

Förberedelsen av sidan tog: 230,68 ms.