## Real Analysis Exchange

- Real Anal. Exchange
- Volume 26, Number 1 (2000), 417-420.

### Finite Continuous, Darboux Functions

#### Abstract

Some properties of finite continuous functions are investigated. In particular we show that, in the class of Darboux functions, the family of 2-continuous functions is the same as the family $B_1^{**}$ and the set of all discontinuity points of finite continuous, Darboux functions is nowhere dense.

#### Article information

**Source**

Real Anal. Exchange, Volume 26, Number 1 (2000), 417-420.

**Dates**

First available in Project Euclid: 2 January 2009

**Permanent link to this document**

https://projecteuclid.org/euclid.rae/1230939170

**Mathematical Reviews number (MathSciNet)**

MR1825520

**Keywords**

continuity countably continuous function Darboux function Baire one star function ordinary system

#### Citation

Marciniak, Mariola. Finite Continuous, Darboux Functions. Real Anal. Exchange 26 (2000), no. 1, 417--420. https://projecteuclid.org/euclid.rae/1230939170