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

2019/10/25 by Ronald Brown, Brown, Ronald, George Janelidze +3 · 2 citations
Mathematics · Computer Science · #Finite Group Theory Research #Geometric and Algebraic Topology #Computational Geometry and Mesh Generation

paper · pdf · doi:10.48550/arxiv.1910.11620

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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