Abstract

An Lω -space is view as a fuzzy topology space containing various closure operators. In this paper, some new notions of the first and the second ωθ -countability are introduced in an Lω -space. Some basic properties of them are respectively given. For example, the first and the second ωθ- countability are both hereditary property, countable multiplicative property and invariant property under (ω 1, ω 2)θ -homomorphism.

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