The cardinality of the class of separately continuous functions

Rok, strany: 1996, 105 - 111

Certain conditions on topological spaces $X$ and $Y$ are given so that the class of all separately continuous real-valued functions from $X× Y$ has cardinality $c$, it is in particular when $X× Y$ is the plane $\Bbb R²$. On the other hand, it is shown that the closely related class of symmetrically quasi-continuous functions on $\Bbb R²$ has cardinality $2^c$.

ISO 690:

Piotrowski, Z., Reilly, I., Scott, B. 1996. The cardinality of the class of separately continuous functions. In Tatra Mountains Mathematical Publications, vol. 8, no.2, pp. 105-111. 1210-3195.

APA:

Piotrowski, Z., Reilly, I., Scott, B. (1996). The cardinality of the class of separately continuous functions. Tatra Mountains Mathematical Publications, 8(2), 105-111. 1210-3195.