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Strict density topology of the plane. Category case

In: Tatra Mountains Mathematical Publications, vol. 46, no. 2
Małgorzata Filipczak - Władysław Wilczyński
Detaily:
Rok, strany: 2010, 55 - 64
Kľúčové slová:
category density of the plane, convergence in the restricted sense, separation axioms.
O článku:
We study the properties of category density topology of the plane generated by a restricted convergence in the category of double sequences of characteristic functions

$$ \{χ((n,m)· (A- (x0, y0)))\cap ([-1, 1]× [-1, 1])\}_{n,m\in\mathbb{N}} $$

and more interesting topology generated by a strict convergence in the category of the same sequences, which is a natural modification of a previous one. Similar problems for measure density were considered in [M. Filipczak, W. Wilczy\'nski: \textit{Strict density topology on the plane. Measure case} (in preparation)].
Ako citovať:
ISO 690:
Filipczak, M., Wilczyński, W. 2010. Strict density topology of the plane. Category case. In Tatra Mountains Mathematical Publications, vol. 46, no.2, pp. 55-64. 1210-3195.

APA:
Filipczak, M., Wilczyński, W. (2010). Strict density topology of the plane. Category case. Tatra Mountains Mathematical Publications, 46(2), 55-64. 1210-3195.