Vol. 60,   1   (1991) pp.   31-34
ON QUASI-CONTINUOUS BIJECTIONS
Z. GRANDE and T. NATKANIEC
Abstract. 
The well-known classical theorem ascertains that if $f$ is a one-to-one continuous function from $I$ onto $I$, then the inverse function $f^-1$ is continuous too (i.e. $f$ is a homeomorphism). The purpose of this paper is to state that the analogous result does not hold for quasi-continuous functions.