The closure of a model category
The generalized Schoenflies theorem for absolute suspensions
The aim of this paper is to prove the generalized Schoenflies theorem for the class of absolute suspensions. The question whether the finite-dimensional absolute suspensions are homeomorphic to spheres remains open. Partial solution to this question was obtained in [Sz] and [Mi]. Morton Brown gave in [Br] an ingenious proof of the generalized Schoenflies theorem. Careful analysis of his proof reveals that modulo some technical adjustments a similar argument gives an analogous result for the class...
The Group of Homotopy Self-Equivalences of Some Compact CW-Complexes*.
The homotopy dimension of codiscrete subsets of the 2-sphere 𝕊²
Andreas Zastrow conjectured, and Cannon-Conner-Zastrow proved, that filling one hole in the Sierpiński curve with a disk results in a planar Peano continuum that is not homotopy equivalent to a 1-dimensional set. Zastrow's example is the motivation for this paper, where we characterize those planar Peano continua that are homotopy equivalent to 1-dimensional sets. While many planar Peano continua are not homotopy equivalent to 1-dimensional compacta, we prove that each has fundamental group that...
The Homotopy Groups of an n-Fold Wedge.
The normalizer of the Weyl group.
The Novikov conjecture and low-dimensional topology.
The relation between homotopy limits and Bauer's shape singular complex
The Stable Topological-hyperbolic Space Form Problem for Complete Manifolds of Finite Volume.
The Suspension of the Loops on a Space with Comultiplication.
The Whitehead and the Smale theorems in shape theory [Book]
The whitehead theorem in the proper category
Topology of the complement of real hyperplanes in CN.