Other related functor categories
are those specified with the general definition
of the fundamental groupoid functor,
, where Top is the
category
of topological spaces and
is the groupoid category.
A specific example of a quantum fundamental groupoid can be given for spin foams of spin networks, with a spin foam defined as a functor between spin network categories. Thus, because spin networks or graphs are specialized one-dimensional CW-complexes whose cells are linked quantum spin states, their quantum fundamental groupoid is defined as a functor representation of CW-complexes on rigged Hilbert spaces (also called Frechét nuclear spaces).
As of this snapshot date, this entry was owned by bci1.