Cell-like decompositions arising from mismatched sewings: applications to 4-manifolds
Cell-like resolutions of polyhedra by special ones
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 point of P...
Characterization of Hilbert cube manifolds: an alternate proof
Constructing exotic retracts, factors of manifolds, and generalized manifolds via decompositions
Contributions à la théorie du type simple d'homotopie.