4348-M POLYGROUPOIDS.
Abstract
A polygroupoid is, essentially, a cubical complex whose set of n-cells constitutes a semigroupoid in n different ways (directions), with appropriate consistency properties. Notions of equivalence of polygroupoids and of quotient polygroupoids are defined; various polygroupoids are associated functorially with arbitrary semigroupoids and with topological spaces. The main theorem asserts the equivalence between the polygroupoid associated with a cellular complex (the latter being regarded as a semigroupoid) and that associated with the topological space which is the geometric realization of the complex.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 14, 1966
- Accession Number
- AD0480191
Entities
People
- Joseph A. Zilber
Organizations
- Ohio State University