On tau-Lindelöf spaces

A topological space X is said to be τ-Lindelöf space if every open cover of X contains a subcover of cardinality ≤ τ. This paper aims to study those spaces in which all points have a τ-Lindelöf neighborhood, calling them locally τ-Lindelöf. This work extends the known results from Lindelöf and locally Lindelöf spaces to τ-Lindelöf and locally τ-Lindelöf spaces.

کلیدواژه ها:

Baire Theorem ، τ-Lindelöf ، locally τ-Lindelöf ، P_\lambda-space ، Urysohn Lemma