GENERALIZED OSCILLATIONS FOR GENERALIZED CONTINUITIES
Borsík, Ján
Tatra Mountains Mathematical Publications, Tome 49 (2011), / Harvested from Mathematical Institute
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Let $(X,\fg)$ be a generalized topological space, $(Y,d)$ a metric one and $f:X\to Y$ a function. We can define a generalized oscillation of $f$ at $x\in X$ as $k_f^\fg(x)=\inf\{ \diam f(A):  A\in\fg, x\in A\}$. We discuss some properties of the generalized oscillation.

Publié le : 2011-01-01
DOI : https://doi.org/10.2478/tatra.v49i0.127 
@article{127,
     title = {GENERALIZED OSCILLATIONS FOR GENERALIZED CONTINUITIES},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {49},
     year = {2011},
     doi = {10.2478/tatra.v49i0.127},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/127}
}

Borsík, Ján. GENERALIZED OSCILLATIONS FOR GENERALIZED CONTINUITIES. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v49i0.127. http://gdmltest.u-ga.fr/item/127/