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Open covers, locally sectionable maps, sets of base points, and van Kampen's theorem

Published 25 Oct 2019 in math.AT and math.CT | (1910.11620v3)

Abstract: 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 a space B are replaced by a locally sectionable map to B.

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