${\omega_{\mathcal{I}, \gamma}}$}-continuous functions and weakly {\boldmath${\omega_{\mathcal{I}, \gamma}}$}-continuous functions
DOI:
https://doi.org/10.5644/SJM.09.2.14Keywords:
$\omega_{\mathcal{I}, \gamma}$-sets, $\gamma$-open, $\omega_{\mathcal{I}, \gamma}$-spaces, $\omega_{\mathcal{I}, \gamma}$-connected spaces, $\omega_{\mathcal{I}, \gamma}$-compact spacesAbstract
Using the $\omega_{\mathcal{I}, \gamma}$\mbox{-}closed sets defined in \cite{carpintero}, we introduce the notions of $\omega_{\mathcal{I}, \gamma}$\mbox{-}continuous functions and weakly $\omega_{\mathcal{I}, \gamma}$\mbox{-}continuous functions. Characterizations and properties of this new class of functions are obtained and studied.
2010 Mathematics Subject Classification. 54C10, 54D10.
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References
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