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Density topology involving microscopic sets and category

In: Tatra Mountains Mathematical Publications, vol. 62, no. 1
Elżbieta Wagner-Bojakowska - Władysław Wilczyński - Wojciech Wojdowski
Detaily:
Rok, strany: 2015, 113 - 132
Kľúčové slová:
density point, density topology
O článku:
Analogously to the method used for $c$-density point, we introduce the notion of $c_{\mu}$-density point for arbitrary set $A$ having the Baire property, replacing the covergence in measure with the convergence with respect to the $\sigma$-ideal of microscopic sets. Then, we consider the density type topology $\mathcal{T}c_{\mu}$ generated by $c_{\mu}$-density operator and study basic properties of $\mathcal{T}c_{\mu}$ in comparison with the classical density, $\mathcal{I}$-density and $c$-density topologies.
Ako citovať:
ISO 690:
Wagner-Bojakowska, E., Wilczyński, W., Wojdowski, W. 2015. Density topology involving microscopic sets and category. In Tatra Mountains Mathematical Publications, vol. 62, no.1, pp. 113-132. 1210-3195.

APA:
Wagner-Bojakowska, E., Wilczyński, W., Wojdowski, W. (2015). Density topology involving microscopic sets and category. Tatra Mountains Mathematical Publications, 62(1), 113-132. 1210-3195.