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A note on the graph continuity

Przemski M.

Demonstratio Mathematica

2006

Vol. 39, nr 4

927-937

The aim of this paper is to presented and study the concept of local version of the relationship between the graphs and the closure of the graphs for pairs of functions. Some characterisations of certain generalized forms of continuity are also obtained.

On cliquishness of maps of two variables

Ewart J.

Demonstratio Mathematica

2002

Vol. 35, nr 3

657-670

We give some sufficient conditions under which a separately cliquish map of two variables is cliquish.

On sets determined by sequences of quasi-continuous functions

Wesołowska J.

Journal of Applied Analysis

2001

Vol. 7, nr 2

271-283

The aim of the paper is to characterize those sets of points at which sequence of real functions from a given class F converges as well as sets of points of convergence to infinity of such sequences. As F we consider quasi-continuous functions and some other subclasses of Baire measurable functions.

On the maximal multiplicative family for the class of graph continuous functions

Sakalova K.

Demonstratio Mathematica

1999

Vol. 32, nr 3

615-620

In 1977 z. Grande introduced the notion of graph continuity for functions from <0, 1> to R. The aim of this note is to deal with the maximal multiplicative family for the class of graph continuous functions from topological space.