## Real Analysis Exchange

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

### On Continuity and Generalized Continuity with Respect to Two Topologies

#### 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

**Permanent link to this document**

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

**Mathematical Reviews number (MathSciNet)**

MR1691763

**Zentralblatt MATH identifier**

0938.54020

**Subjects**

Primary: 54C08: Weak and generalized continuity 54C30: Real-valued functions [See also 26-XX] 54C05: Continuous maps

**Keywords**

bitopological continuity quasicontinuity cliquishness

#### 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