Strict density topology of the plane. category case

Małgorzata Filipczak; Władysław Wilczyński

doi:10.2478/v10127-010-0019-4

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Strict density topology of the plane. category case

Tatra Mountains Mathematical Publications

Volume 46 (2010): Issue 1 (August 2010)

By: Małgorzata Filipczak and Władysław Wilczyński

Open Access

|Nov 2012

Abstract

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 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: Strict density topology on the plane. Measure case (in preparation)].

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-010-0019-4 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 55 - 64

Published on: Nov 13, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

category density of the plane,

convergence in the restricted sense,

separation axioms.

Related subjects:

Mathematics,

General mathematics

© 2012 Małgorzata Filipczak, Władysław Wilczyński, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 46 (2010): Issue 1 (August 2010)