On $S$-quasi-continuity and some properties of sections of a function

Rok, strany: 1998, 47 - 55

In this paper, it is shown that, in the space of functions whose all sections are continuous, the set of Darboux functions is porous ($\frac1 2$-uniformly porous). The considerations connected with this problem lead to the introduction of a new notion: $s$-quasi-continuity. In the main theorem, there are given conditions (connected with $s$-quasi-continuity) which must be satisfied by sections of a function of two variables in order that a point be the Darboux($L$) point of this function.

ISO 690:

Pawlak, H., Pawlak, R. 1998. On $S$-quasi-continuity and some properties of sections of a function. In Tatra Mountains Mathematical Publications, vol. 14, no.1, pp. 47-55. 1210-3195.

APA:

Pawlak, H., Pawlak, R. (1998). On $S$-quasi-continuity and some properties of sections of a function. Tatra Mountains Mathematical Publications, 14(1), 47-55. 1210-3195.