Characterizations of $\delta_1\text{-}{\beta}_{\mathcal{I}}$-paracompactness concerning an ideal
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5732Keywords:
ideal topological space, $\delta_1\text{-}{\beta}_{\mathcal{I}}$-paracompact, $\delta\text{-}{\beta}_{\mathcal{I}}$-openAbstract
Al-Jarrah presented and examined the idea of β1-paracompactness in topological spaces, whereas Qahis extended the original idea of β1-paracompact spaces by further developing and investigating the idea of β1-paracompact spaces with respect to an ideal. This work analyzes the properties, subsets, and subspaces of δ1-βI-paracompact spaces, which are wider in scope than
the β1-paracompact spaces delineated by Qahis. Furthermore, we investigate the invariants of δ1-βI-paracompact spaces via the view of functions.
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