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U.W. Bangor - School of Informatics - Mathematics Preprints 1998

Algebraic Topology


98.15 : BROWN, R. & ICEN, I.

Lie local subgroupoids and their monodromy

Abstract:

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.

Published in:

ftp access:

sub6.ps


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.

Published in:

K-Theory 23 (2001) 129-155.

ftp access:

equivcrsII.ps.gz


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