Different generalizations of topological Baire spaces to the case of generalized topological
spaces are considered and the properties of such spaces are examined. In particular, these …

We prove some results concerning the entropy of Darboux (and almost continuous)
functions. We first generalize some theorems valid for continuous functions, and then we …

ON THE TRANSITIVITY OF MULTIFUNCTIONS AND DENSITY OF ORBITS IN GENERALIZED
TOPOLOGICAL SPACES Page 1 Acta Math. Hungar., 135 (1–2) (2012), 56–66 DOI …

The comparison of some subfamilies of the family of functions on the real line having the
Baire property in porosity terms is given. We prove that the family of all quasi-continuous …

We introduce a subclass of the family of Darboux Baire 1 functions f: R→ R modifying the
Darboux property analogously as it was done by Z. Grande in [On a subclass of the family of …

In the first parts of this paper we consider relationships between some aspects of continuity
in generalized topological (metric) spaces. The last part is devoted to the dynamics of …

DYNAMICS OF DARBOUX FUNCTIONS Introduction Page 1 Tatra Mt. Math. Publ. 42 (2009),
51–60 DOI: 10.2478/v10127-009-0005-x ØÑÅ Ø Ñ Ø Ð ÈÙ Ð Ø ÓÒ× DYNAMICS OF DARBOUX …

In this paper we apply some elements of real analysis theory to the distinguishing of the
certain subclass of the class of functions possessing Sharkovsky property. The main aim of …

Let us suppose that we have given a set X of some objects (eg events, information etc.) and
some action (on the elements of the set X) whose result may be described by use of a …

THE STABLE POINTS AND THE ATTRACTORS OF DARBOUX FUNCTIONS Introduction
Page 1 Tatra Mt. Math. Publ. 40 (2008), 13–24 Mathematical Publications THE STABLE …