mu-paracompact and g(mu)-paracompact generalized topological spaces

摘要

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 para-compact spaces follow as a corollary to a result achieved in this paper.