On strongly countably continuous functions

In: Tatra Mountains Mathematical Publications, vol. 42, no. 1

Grażyna Horbaczewska

Detaily:

Rok, strany: 2009, 81 - 86

Kľúčové slová:

countable decomposition, additive functions, approximate and $I$-approximate continuity, Baire$^*1$ functions

O článku:

A real-valued function $f$ on $\Bbb R$ is strongly countably continuous provided that there is a sequence of continuous functions $(f_n)_{n\in\Bbb N}$ such that the graph of $f$ is contained in the union of the graphs of $f_n$. \par Some examples of interesting strongly countably continuous functions are given: one for which the inverse function is not strongly countably continuous, another which is an additive discontinuous function with a big image and a function which is approximately and $I$-approximately continuous, but it is not strongly countably continuous.

Ako citovať:

ISO 690:

Horbaczewska, G. 2009. On strongly countably continuous functions. In Tatra Mountains Mathematical Publications, vol. 42, no.1, pp. 81-86. 1210-3195.

APA:

Horbaczewska, G. (2009). On strongly countably continuous functions. Tatra Mountains Mathematical Publications, 42(1), 81-86. 1210-3195.