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On countably continuous functions

In: Tatra Mountains Mathematical Publications, vol. 28, no. 1
Zbigniew Grande - Anna Fatz-Grupka
Detaily:
Rok, strany: 2004, 57 - 63
O článku:
A function $f:Bbb R o Bbb R$ is countably continuous if there are continuous functions $fn:Bbb R o Bbb R$ such that the graph of $f$ is contained in the union of the graphs of $fn$. We prove that the family of all countably continuous functions is closed with respect to the algebraic and lattice operations and that the superposition of two countably continuous functions is countably continuous. Moreover, we show some examples of monotone function and an approximately continuous function which are not countably continuous.
Ako citovať:
ISO 690:
Grande, Z., Fatz-Grupka, A. 2004. On countably continuous functions. In Tatra Mountains Mathematical Publications, vol. 28, no.1, pp. 57-63. 1210-3195.

APA:
Grande, Z., Fatz-Grupka, A. (2004). On countably continuous functions. Tatra Mountains Mathematical Publications, 28(1), 57-63. 1210-3195.