Abstract
We investigate the concept of θ-regularity generalized for spaces with two and three topologies and study its relations to bitopological paracompactness and bitopological unstability in the presence of pairwise Hausdorff separation axiom. We also complete some authors' previous results regarding generalized θ-regularity and apply them to the study of the relationships between various modifications of pairwise paracompactness in spaces with more than one topologies.
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