| In this paper, we prove that the weight, character, density, and Lindcl?f degree of (LX,δ) are equal with those of (I(L)X,ω(δ)) , and that (LX,δ) is a Lindel?f space if and only if (I(L)X,ω(δ)) is a Lindelof space. We also compare (LX,δ) and (I(L)X,ω(δ)) in respects of the dense set, nowhere dense set, first category set, second category set and Baire property, respectively. |
