On nowhere density of the class of somewhat continuous functions in
On pseudocompact, countably compact, locally bicompact mappings, and -mappings.
On quasi -open and quasi -closed functions.
On quasicontinuity of multifunctions
On reflexive closed set lattices
For a topological space , let denote the set of all closed subsets in , and let denote the set of all continuous maps . A family is called reflexive if there exists such that for every . Every reflexive family of closed sets in space forms a sub complete lattice of the lattice of all closed sets in . In this paper, we continue to study the reflexive families of closed sets in various types of topological spaces. More necessary and sufficient conditions for certain families of closed...
On semi-closed sets and semi-open sets and their applications
On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings
On strongly continuous and completely continuous mappings
On Surjective Bing Maps
In [7], M. Levin proved that the set of all Bing maps of a compact metric space to the unit interval is a dense -subset of the space of all maps. In [6], J. Krasinkiewicz independently proved that the set of all Bing maps of a compact metric space to an n-dimensional manifold (n ≥ 1) is a dense -subset of the space of maps. In [9], J. Song and E. D. Tymchatyn, solving some problems of J. Krasinkiewicz ([6]), proved that the set of all Bing maps of a compact metric space to a nondegenerate connected...
On the almost monotone convergence of sequences of continuous functions
A sequence (f n)n of functions f n: X → ℝ almost decreases (increases) to a function f: X → ℝ if it pointwise converges to f and for each point x ∈ X there is a positive integer n(x) such that f n+1(x) ≤ f n (x) (f n+1(x) ≥ f n(x)) for n ≥ n(x). In this article I investigate this convergence in some families of continuous functions.
On the class of continuous images of Valdivia compacta.
On the compactification of closure algebras
On the continuity and monotonicity of restrictions of connected functions
On the continuity of functions.
On the deficiency of product spaces
On the extensions of uniformly continuous mappings
On the functionally countable subalgebra of C(X)
On the generalized property
On the product topology associated with semi-closed sets
On the relation between continuous and connected functions