On some extensions of almost continuous functions and of connectivity functions

Rok, strany: 1993, 15 - 18

Let $\hat f$ be a real function defined on $\Bbb R²$ by the formula $\hat f(x, y)=f(x)$ where $f$ is a real function defined on $\Bbb R$. We prove the following theorems: The function $\hat f$ is almost continuous if and only if $f$ is continuous. The function $\hat f$ is a connectivity function if and only if $f$ is continuous.

ISO 690:

Lipiński, J. 1993. On some extensions of almost continuous functions and of connectivity functions. In Tatra Mountains Mathematical Publications, vol. 2, no.1, pp. 15-18. 1210-3195.

APA:

Lipiński, J. (1993). On some extensions of almost continuous functions and of connectivity functions. Tatra Mountains Mathematical Publications, 2(1), 15-18. 1210-3195.