On the completeness of a topological group of functions.
On the connected-open topology
On the Connes operator in Hochschild homology.
On the continuity and monotonicity of restrictions of connected functions
On the continuity of functions.
On the continuity of midpoint hall convex set-valued functions.
On the continuity of midpoint hull convex set-valued functions. (Summary).
On the convergence of -primitives
On the deficiency of product spaces
On the differences of upper semicontinuous quasi-continuous functions
On the differentiability of multivalued mappings. II.
On the disjoint (0,N)-cells property for homogeneous ANR's
A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell into X and for each ε > 0 there exist a point y ∈ X and a map such that ϱ(x,y) < ε, and . It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact -space then local homologies satisfy for k < n and Hn(X,X-x) ≠ 0.
On the Entropy of the Geodesic Flow in Manifolds Without Conjugate Points.
On the equivalence of certain coincidence theorems and fixed point theorems
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.
On the existence of a maximal element of multivalued mappings in -spaces.
On the existence of maps having graphs connected and dense
On the existence of -primitives on arbitrary metric spaces
On the extension and generation of set-valued mappings of bounded variation
We study set-valued mappings of bounded variation of one real variable. First we prove the existence of an extension of a metric space valued mapping from a subset of the reals to the whole set of reals with preservation of properties of the initial mapping: total variation, Lipschitz constant or absolute continuity. Then we show that a set-valued mapping of bounded variation defined on an arbitrary subset of the reals admits a regular selection of bounded variation. We introduce a notion of generated...
On the extension of continuous functions