Geodesic
Double points and universal covers
Filomat, Tome 36 (2022) no. 4, p. 1171

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DOI

In this note we study the double points set of a particular covering map of an open manifold, and we present a new procedure for building universal covering spaces of such manifolds. This is done by means of an arborescent construction, starting from a presentation of the manifold as a non-compact simplicial complex with pairwise identified faces. The proof uses the so-called " zipping theory " of Poénaru which helps the understanding of the topology of the quotient manifold resulted from the combinatorial presentation
DOI : 10.2298/FIL2204171O
Classification : 57M07, 57M20, 57M35
Keywords: Covering map, trees, regular neighbourhood, simplicial maps, singularities, universal covers 
Daniele Ettore Otera. Double points and universal covers. Filomat, Tome 36 (2022) no. 4, p. 1171 . doi: 10.2298/FIL2204171O
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     title = {Double points and universal covers},
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     year = {2022},
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     doi = {10.2298/FIL2204171O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204171O/}
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