Tangential homotopy equivalences.
The cell-like approximation theorem in dimension 5
The cell-like approximation theorem of R. D. Edwards characterizes the n-manifolds precisely as the resolvable ENR homology n-manifolds with the disjoint disks property for 5 ≤ n < ∞. Since no proof for the n = 5 case has ever been published, we provide the missing details about the proof of the cell-like approximation theorem in dimension 5.
The Hauptvermutung for homeomorphisms II. A proof valid for open 4-manifolds
The minimum dimension of a residual ANR
The recognition problem for topological manifolds
The Stucture of Semitopological Monoids on Compact Connected Manifolds.
The twisted products of spheres that have the fixed point property
By a twisted product of Sⁿ we mean a closed, 1-connected 2n-manifold M whose integral cohomology ring is isomorphic to that of Sⁿ × Sⁿ, n ≥ 3. We list all such spaces that have the fixed point property.
Topological classification of multiaxial -actions (with an appendix by Jared Bass)
This paper begins the classification of topological actions on manifolds by compact, connected, Lie groups beyond the circle group. It treats multiaxial topological actions of unitary and symplectic groups without the dimension restrictions used in earlier works by M. Davis and W. C. Hsiang on differentiable actions. The general results are applied to give detailed calculations for topological actions homotopically modeled on standard multiaxial representation spheres. In the present topological...
Topologically invariant σ-ideals on Euclidean spaces
We study and classify topologically invariant σ-ideals with an analytic base on Euclidean spaces, and evaluate the cardinal characteristics of such ideals.
Topologie de Gromov équivariante, structures hyperboliques et arbres réels.
Topology of vortices
Two criteria thrusting simple connectedness on manifolds