Abstract | ||
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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 |
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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 Brown | 1 | 23 | 4.42 |
George Janelidze | 2 | 40 | 33.99 |