Geodesic
ON QUASI-CONTINUOUS BIJECTIONS
Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 1 
Z. Grande; T. Natkaniec. ON QUASI-CONTINUOUS BIJECTIONS. Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1991_60_1_a5/
@article{AMUC_1991_60_1_a5,
     author = {Z. Grande and T. Natkaniec},
     title = {ON {QUASI-CONTINUOUS} {BIJECTIONS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1991},
     volume = {60},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1991_60_1_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.