ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

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.

AMS subject classification.  26A15
Keywords

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