2002/08/27 by Ronald Brown, R. Brown, Brown, R. +3
Mathematics · Medicine · #18D05 #20L05 #55 Q05 #55Q35 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #math.AT #math.CT #msc:18D05 #msc:20L05 #msc:55 #msc:55Q35 #msc:Q05
paper · pdf · doi:10.48550/arxiv.math/0208211
16 A4 pages, xypic
arxiv created 2002/08/27 · openalex publication_date 2002/08/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.