Magill-type theorems for mappings.
Magnifying elements of transformation semigroups.
Mappings and inductive invariants
Mappings on -paracompact spaces.
Mappings that preserve Cauchy sequences
Metrization of Moore spaces and generalized manifolds
Metrization, paracompactness, and real-valued functions
Multi-valued Namioka theorems.
New approach for closure spaces by relations.
Non-constant continuous mappings of metric or compact Hausdorff spaces
Norm continuity of pointwise quasi-continuous mappings
Let be a Baire space, be a compact Hausdorff space and be a quasi-continuous mapping. For a proximal subset of we will use topological games and on between two players to prove that if the first player has a winning strategy in these games, then is norm continuous on a dense subset of . It follows that if is Valdivia compact, each quasi-continuous mapping from a Baire space to is norm continuous on a dense subset of .
Note on connections of the point of continuity property and Kuratowski problem on function having the Baire property
Notes on almost open mappings
Nowhere monotone functions and a problem of K.M. Garg
On a characterization of the unit interval in terms of clones
This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.
On a class of continuous mappings
On a concept of dependence for continuous mappings
On almost continuity and expansion of open sets.
On almost quasicontinuity
The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).
On Applications of Bing-Krasinkiewicz-Lelek Maps
We characterize Peano continua using Bing-Krasinkiewicz-Lelek maps. Also we deal with some topics on Whitney preserving maps.