224 citations
- Centre National de la Recherche ScientifiqueFR376 papers
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Showing 1998 · math.GTShow all
2 papers · 2 filters
math.GT1998
On open 3-manifolds proper homotopy equivalent to geometrically-simply connected polyhedra
Louis Funar, Tom L. Thickstun
We prove that an open 3-manifold proper homotopy equivalent to a geometrically simply connected polyhedron is simply connected at infinity, generalizing a theorem of V.Poenaru.
math.GT1998
Cubulations, immersions, mappability and a problem of Habegger
Louis Funar
The aim of this paper (inspired from a problem of Habegger) is to describe the set of cubical decompositions of compact manifolds mod out by a set of combinatorial moves analogous…