$\mathcal{AC}^{*}$ AND $\mathcal{AC}_{2}^{*}$-PAIRWISE PARACOMPACTNESS IN BITOPOLOGICAL SPACES

S. Umamaheswari and M. Saraswathi

  DOI:  https://doi.org/10.37418/amsj.9.11.84

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This paper deals with two new classes of $\mathcal{AC}^{*}$ pairwise and $\mathcal{AC}_{2}^{*}$ pairwise paracompact spaces in bitopological spaces some characterizations and several basic properties of $\mathcal{AC}^{*}$ and $\mathcal{AC}_{2}^{*}$ pairwise paracompact spaces are obtained. Also introduced the $\mathcal{AC}^{*}$-pairwise normal spaces in bitopological spaces and its properties were discussed.

Keywords: Bitopological spaces, Angelic spaces, $\mathcal{AC}^{*}$-pairwise paracompact, $\mathcal{AC}_{2}^{*}$ pairwise paracompact, $\mathcal{AC}^{*}$- pairwise normal.