Bicollared n-manifold in Euclidean space
Bounded homeomorphisms over Hadamard manifolds.
Cell-like decompositions arising from mismatched sewings: applications to 4-manifolds
Cells and cubes in hyperspaces
Certain continua in with homeomorphic complements have the same shape
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.
Closed similarity manifolds.
Codimension 2 fibrators that are closed under finite product.
Constructing exotic retracts, factors of manifolds, and generalized manifolds via decompositions
Contact topology and the structure of 5-manifolds with
We prove a structure theorem for closed, orientable 5-manifolds with fundamental group and second Stiefel-Whitney class equal to zero on . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain -quotients of .
Continuity of Barycentric Coordinates in Euclidean Topological Spaces
In this paper we present selected properties of barycentric coordinates in the Euclidean topological space. We prove the topological correspondence between a subset of an affine closed space of εn and the set of vectors created from barycentric coordinates of points of this subset.
Corrigendum to Resolutions of homology manifolds, and the topological characterization of manifolds.
Cutting and Pasting of Involutions and Fiberings over the Circle within a Bordism Class.
Decompositions into submanifolds of fixed codimension
Decompositions of manifolds into codimension one submanifolds
Detecting codimension one manifold factors with the piecewise disjoint arc-disk property and related properties
We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n ≥ 4 determined by general position properties, the piecewise disjoint arc-disk...
Dimension and decompositions
Double suspension d'une sphère d'homologie
Ein eindimensionales Kompaktum in , das sich nicht lagetreu in die Mengersche Universalkurve einbetten läβt
Eine Verallgemeinerung zum Jordan-Brouwerschen Satz.