The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology
The algebraic characterization of the exteriors of certain 2-knots.
The ambient homeomorphy of certain function and sequence spaces
In this paper we consider a number of sequence and function spaces that are known to be homeomorphic to the countable product of the linear space . The spaces we are interested in have a canonical imbedding in both a topological Hilbert space and a Hilbert cube. It turns out that when we consider these spaces as subsets of a Hilbert cube then there is only one topological type. For imbeddings in the countable product of lines there are two types depending on whether the space is contained in a...
The A-polynomial of the pretzel knots.
The Approximation of Instantons.
The Bing-Borsuk conjecture is stronger than the Poincaré conjecture
The boundary-Wecken classification of surfaces.
The Canonical Class and the Properties of Kähler Surfaces.
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 Characteristic Toric Splitting of Irreducible Compact 3-Orbifolds.
The Classification of Maps of Nonorietable Surfaces.
The classification of nonsimple algebraic tangles.
The classiflcation of maps of surfaces.
The closure of the space of homeomorphisms on a manifold. The piecewise linear case
The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category
This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.
The colored Jones function is -holonomic.
The concordance genus of knots.
The convex and concave decomposition of manifolds with real projective structures
The Definition of Topological Manifolds
This article introduces the definition of n-locally Euclidean topological spaces and topological manifolds [13].
The deformation theory of anti-self-dual conformal structures.