## Real Analysis Exchange

### Quasi-uniform convergence of sequences of 1-improvable discontinuous functions

#### Abstract

In the paper it is shown that the strongly quasi-uniform limit of a sequence of 1-improvable discontinuous functions on a complete space $X$ is a 1-improvable discontinuous function or a continuous function. Automatically the same result will be valid for uniform convergence.

#### Article information

Source
Real Anal. Exchange, Volume 21, Number 2 (1995), 750-754.

Dates
First available in Project Euclid: 14 June 2012