A note on strong Jordan separation.
A polyhedral 2-sphere which fails to be locally flat at just one point
A wildly embedded 1-dimensional compact set in each of whose components is tame
Bilipschitz Extensions of Maps Having Quasiconformal Extensions.
Cell-like decompositions arising from mismatched sewings: applications to 4-manifolds
Characterization of knot complements in the n-sphere
Knot complements in the n-sphere are characterized. A connected open subset W of is homeomorphic with the complement of a locally flat (n-2)-sphere in , n ≥ 4, if and only if the first homology group of W is infinite cyclic, W has one end, and the homotopy groups of the end of W are isomorphic to those of in dimensions less than n/2. This result generalizes earlier theorems of Daverman, Liem, and Liem and Venema.
Decompositions of manifolds into codimension one submanifolds
Geometrical arguments concerning two-sided submanifolds, flat submanifolds and pinched bicollars
Homotopy groups of arc complements in or Q
Miller's theorem for cell-like embedding relations
Multiplicative properties of Atiyah duality.
Rigid sets in manifolds
Slippery Cantor sets in
Some topics concerning homeomorphic parameterizations.
In this survey, we consider several questions pertaining to homeomorphisms, including criteria for their existence in certain circumstances, and obstructions to their existence.
Some topologically locally-flat surfaces in the complex projective plane.
Squeezing m-cells to (m-1)-cells in
The Degree and Branch Set of a Branched Covering.
Theorem on the union of two topologically flat cells of codimension 1 in .
Universal meager -sets in locally compact manifolds
In each manifold modeled on a finite or infinite dimensional cube , , we construct a meager -subset which is universal meager in the sense that for each meager subset there is a homeomorphism such that . We also prove that any two universal meager -sets in are ambiently homeomorphic.
Аппроксимация вложений многообразий в коразмерности единица