Geodesic
Van Kampen's theorem for locally sectionable maps
Theory and applications of categories, The Rosebrugh Festschrift, Tome 36 (2021), pp. 48-64 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We generalize the Van Kampen theorem for unions of non-connected spaces, due to R. Brown and A. R. Salleh, to the context where families of subspaces of the base space B are replaced with a `large' space E equipped with a locally sectionable continuous map p: E -> B.

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Classification : 20L05, 55Q05, 55R99
Keywords: Van Kampen Theorem, fundamental groupoid, locally sectionable map 
@article{TAC_2021_36_a1,
     author = {Ronald Brown and George Janelidze and George Peschke},
     title = {Van {Kampen's} theorem for locally sectionable maps},
     journal = {Theory and applications of categories},
     pages = {48--64},
     year = {2021},
     volume = {36},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_36_a1/}
}
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Ronald Brown; George Janelidze; George Peschke. Van Kampen's theorem for locally sectionable maps. Theory and applications of categories, The Rosebrugh Festschrift, Tome 36 (2021), pp. 48-64. http://geodesic.mathdoc.fr/item/TAC_2021_36_a1/