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We present a further generalization of the    d   -density topology introduced in [Real Anal. Exchange 32 (2006/07), 349–358] as a generalization of the density topology. We construct an ascending sequence    of density topologies which leads to the   -density topology including all previous topologies. We examine several basic properties of the topologies.

A further generalization of the 𝒯 𝒜 d -density topology