The notion of local equivalence relation on a topological space
is generalised to that of local subgroupoid.
Properties of coherence are considered.
The main result is notions of holonomy and monodromy groupoid
for certain Lie local subgroupoids.
98.16 :
BROWN, R., GOLASINSKI, M., PORTER, T. & TONKS, A.
Classifying Spaces for equivariant crossed complexes: the non-discrete case
Abstract:
We generalize the previous paper to the case of an arbitrary
topological group action.
The extra ingredient necessary is an analysis of the crossed complex
homotopy coherence arising from the Eilenberg-Zilber theorem,
and its relation to simplicial homotopy coherence.
Again we are able to define an equivariant classifying space
and use it to calculate the weak equivariant homotopy
type of certain equivariant function spaces.
