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Some continuous operations on pairs of cliquish functions

In: Tatra Mountains Mathematical Publications, vol. 44, no. 3
Zbigniew Grande - Ewa Strońska
Detaily:
Rok, strany: 2009, 15 - 25
Kľúčové slová:
quasicontinuity, symmetrical quasicontinuity, cliquishness, symmetrical cliquishness, strong quasicontinuity, strong cliquishness, continuous operations, maximal family for operation
O článku:
The algebraic or lattice operations in the classes of cliquish or quasicontinuous functions are well known [Z. Grande: \textit{On the maximal multi plicative family for the class of quasicontinuous functions}, Real Anal. Exchange \textbf{15} \mbox{(1989–1990)}, 437–441, Z. Grande, L. Soltysik: \textit{Some remarks on quasicontinuous real functions}, Problemy Mat. \textbf{10} (1990), 79–86]. This also pertains to the symmetrical quasicontinuity or symmetrical cliquishness [Z. Grande: {\it{On the maximal additive and multiplicative families for the quasicontinuities of Piotrowski and Vallin}}, Real Anal. Exchange \textbf{32} (2007), 511–518]. In this article, we examine the superpositions $F(f,g)$, where $F$ is a continuous operation and $f,g$ are cliquish (symmetrically cliquish) or $f$ is continuous ($f$ is symmetrically quasicontinuous with continuous sections) and $g$ is quasicontinuous (symmetrically quasicontinuous).
Ako citovať:
ISO 690:
Grande, Z., Strońska, E. 2009. Some continuous operations on pairs of cliquish functions. In Tatra Mountains Mathematical Publications, vol. 44, no.3, pp. 15-25. 1210-3195.

APA:
Grande, Z., Strońska, E. (2009). Some continuous operations on pairs of cliquish functions. Tatra Mountains Mathematical Publications, 44(3), 15-25. 1210-3195.