Real Analysis Exchange

On Continuity and Generalized Continuity with Respect to Two Topologies

Zbigniew Grande

Abstract

Let $\tau _1$ and $\tau _2$ be topologies in $X$ and let $\tau = \tau _1 \cap \tau _2$. Some conditions concerning the topologies $\tau$, $\tau _1$ and $\tau _2$ and describing the relations between the $\tau$-continuity (quasicontinuity) [cliquishness] and the $\tau _i$-continuity (quasicontinuity) [cliquishness], $i = 1,2$, of functions defined on $X$ are considered.

Article information

Source
Real Anal. Exchange, Volume 24, Number 1 (1998), 435-446.

Dates
First available in Project Euclid: 23 March 2011

https://projecteuclid.org/euclid.rae/1300906040

Mathematical Reviews number (MathSciNet)
MR1691763

Zentralblatt MATH identifier
0938.54020

Citation

Grande, Zbigniew. On Continuity and Generalized Continuity with Respect to Two Topologies. Real Anal. Exchange 24 (1998), no. 1, 435--446. https://projecteuclid.org/euclid.rae/1300906040

References

• R. Engelking, General Topology, Warsaw PWN, 1976.
• J. L. Kelly, General Topology, New York 1955.
• T. Neubrunn, Quasi-continuity, Real Anal. Exch. 14 (1988-89), 259–306.