A note on almost delta-semicontinuous functions - doi: 10.5269/bspm.v26i1-2.7403

Résumé

In this note, we obtain some improvements of results established on delta-semicontinuous functions in [3] and show that a function $f : (X, \tau) \rightarrow (Y, \sigma)$  isalmost \delta-semicontinuous if and only if $f : (X, \tau_s) \rightarrow (Y, \sigma_s)$ is semi-continuous,where $\tau_s$ and $\sigma_s$ are the semiregularizations $\tau$ and $\sigma$, respectively.