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On the separately open topology

In: Tatra Mountains Mathematical Publications, vol. 42, no. 1
Zbigniew Piotrowski - Robert W. Vallin - Eric Wingler
Detaily:
Rok, strany: 2009, 39 - 49
Kľúčové slová:
separately open topology, separate continuity
O článku:
We consider the relationship between separately continuous functions and separately open sets, and we study the properties of the separately open topology on $\mathbb{R}2$ and on $\mathbb{Q}2$. We show that $\mathbb{R}2$ with this topology (denoted $\mathbb{R}\otimes\mathbb{R}$) is completely and strongly Hausdorff and that $\mathbb{Q}\otimes\mathbb{Q}$ is normal but not a $p$-space. In addition, we show that each point of $\mathbb{Q}\otimes\mathbb{Q}$ has an uncountable neighborhood base.
Ako citovať:
ISO 690:
Piotrowski, Z., Vallin, R., Wingler, E. 2009. On the separately open topology. In Tatra Mountains Mathematical Publications, vol. 42, no.1, pp. 39-49. 1210-3195.

APA:
Piotrowski, Z., Vallin, R., Wingler, E. (2009). On the separately open topology. Tatra Mountains Mathematical Publications, 42(1), 39-49. 1210-3195.