On generalization of the $\mathcal{T}_AI$-density topology

Rok, strany: 2017, 29 - 45

We present a further generalization of the $\mathcal{T}_AI$-density topology introduced in [W. Wojdowski, \textit{A category analogue of the generalization of Lebesgue density topology}, Tatra Mt. Math. Publ. 42 (2009), 11–25] as a generalization of the $I$-density topology. We construct an ascending sequence $\{\mathcal{T}_AI(n)\}_{n\in \mathbb{N}}$ of density topologies which leads to the $\mathcal{T}_{AI(ω )}$-density topology including all previous topologies. We examine several basic properties of the topologies

ISO 690:

Krzeszowiec, A., Wojdowski, W. 2017. On generalization of the $\mathcal{T}_AI$-density topology. In Tatra Mountains Mathematical Publications, vol. 68, no.1, pp. 29-45. 1210-3195.

APA:

Krzeszowiec, A., Wojdowski, W. (2017). On generalization of the $\mathcal{T}_AI$-density topology. Tatra Mountains Mathematical Publications, 68(1), 29-45. 1210-3195.