Title
Galois Theory and a New Homotopy Double Groupoid of a Map of Spaces
Abstract
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new homotopy double groupoid of a map of spaces, which includes constructions by others of a 2-groupoid, cat1-group or crossed module. An advantage of our construction is that the double groupoid can give an algebraic model of a foliated bundle.1
Year
DOI
Venue
2004
10.1023/B:APCS.0000013811.15727.1a
Applied Categorical Structures
Keywords
Field
DocType
homotopy groupoids,Galois groupoids,double groupoids
Discrete mathematics,Topology,Higher-dimensional algebra,Path (topology),Groupoid,n-connected,Homotopy category,Double groupoid,Homotopy,Mathematics,Homotopy group
Journal
Volume
Issue
ISSN
12
1
1572-9095
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Ronald Brown1234.42
George Janelidze24033.99