On classification of -manifolds according to genus
On closed 4-manifolds admitting a Morse function with 4 critical points
On closed sets with convex projections in Hilbert space
Let k be a fixed natural number. We show that if C is a closed and nonconvex set in Hilbert space such that the closures of the projections onto all k-hyperplanes (planes with codimension k) are convex and proper, then C must contain a closed copy of Hilbert space. In order to prove this result we introduce for convex closed sets B the set consisting of all points of B that are extremal with respect to projections onto k-hyperplanes. We prove that is precisely the intersection of all k-imitations...
On compact subsets of an n-manifold
On condition of a stratified mapping
For a stratified mapping , we consider the condition concerning the kernel of the differential of . We show that the condition is equivalent to the condition which has a more obvious geometric content.
On construction of signature of quadratic forms on infinite-dimensional abstract spaces.
On contractible open 3-manifolds.
On convex metric spaces II
On Countable Dense and Strong Local Homogeneity
We present an example of a connected, Polish, countable dense homogeneous space X that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of X is the identity on no nonempty open subset of X.
On Culler-Shalen seminorms and Dehn filling.
On Cyclic Branched Coverings of Spheres.
On diffeomorphisms over surfaces trivially embedded in the 4-sphere.
On Dihedral Covering Spaces of Knots.
On Embedded 2-Spheres in 3-Manifolds.
On Embedded Spheres in 3-manifolds.
On embedding curves in two-dimensional polyhedra
On embedding of curves into two-dimensional polyhedra
On extended connections
On extension of functors
A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.
On face vectors of trivalent maps