Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a $\gamma-$continuous function between two comparable real-valued functions.In this paper, is given a sufficient condition for the weak $\gamma-$insertion property. Also for a space with the weak $\gamma-$insertion property, we give necessary and sufficient conditions for the space to have the strong $\gamma-$insertion property. Several insertion theorems are obtained as corollaries of these results.
@article{19642,
title = {Strong insertion of a $\gamma-$ continuous function},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {34},
year = {2015},
doi = {10.5269/bspm.v34i2.19642},
language = {EN},
url = {http://dml.mathdoc.fr/item/19642}
}
Mirmiran, Majid; Naderi, Binesh. Strong insertion of a $\gamma-$ continuous function. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v34i2.19642. http://gdmltest.u-ga.fr/item/19642/