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Displaying similar documents to “Cubulations, immersions, mappability and a problem of Habegger”

Some topics concerning homeomorphic parameterizations.

Stephen Semmes (2001)

Publicacions Matemàtiques

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In this survey, we consider several questions pertaining to homeomorphisms, including criteria for their existence in certain circumstances, and obstructions to their existence.

On combinatorial isotopy

John F. P. Hudson, Eric Christopher Zeeman (1964)

Publications Mathématiques de l'IHÉS

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Cell-like resolutions of polyhedra by special ones

Dušan Repovš, Arkady Skopenkov (2000)

Colloquium Mathematicae

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Suppose that P is a finite 2-polyhedron. We prove that there exists a PL surjective map f:Q → P from a fake surface Q with preimages of f either points or arcs or 2-disks. This yields a reduction of the Whitehead asphericity conjecture (which asserts that every subpolyhedron of an aspherical 2-polyhedron is also aspherical) to the case of fake surfaces. Moreover, if the set of points of P having a neighbourhood homeomorphic to the 2-disk is a disjoint union of open 2-disks, and every...