Locally $d_\delta$-connected and locally $D_\delta$-compact spaces

Authors: HARSHIT MATHUR, DAVINDER SINGH

Abstract: The local analogues of the notions of $d_\delta$-connectedness and $D_\delta$-compactness of a topological space are introduced, and are named respectively, locally $d_\delta$-connectedness and locally $D_\delta$-compactness. Several properties including characterization of the concepts are discussed.

Keywords: $d_\delta$-separation relative to a space, $d_\delta$-connected relative to a space, $D_\delta$-closed relative to a space, locally $d_\delta$-connected space, locally $D_\delta$-compact space

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