$\mu$-paracompact and $g_\mu$-paracompact generalized topological spaces
This paper defines generalizations of paracompactness on generalized topological spaces (GTS) and establishes that paracompactness, near paracompactness and several other paracompact-like properties follow as special cases, by choosing the GT suitably. Also, the generalizations of locally finite and closure preserving collections in a GTS, have been studied, pointing out their interrelations. Finally, it has been observed that the celebrated theorem of E.Michael in the context of regular paracompact spaces follow as a corollary to a result achieved in this paper.
Keywords:
$\gamma_\mu$-closure, $\mu$-locally finite, $g_\mu$-locally finite, $\mu$-paracompact $g_\mu$-paracompact, $\gamma_\mu$-regular,
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- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
Sayıdaki Diğer Makaleler
Taher S. Hassan, Donal O’Regan
Sandra S. Ferreira, Elsa Moreira, Célia Nunes, Dário Ferreira, João Tiago Mexiak