On the ℑ-R0 spaces and ℑ-strong quasi-uniform convergence

Robert Drozdowski; Agata Sochaczewska

doi:10.2478/v10127-012-0023-y

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On the ℑ-R0 spaces and ℑ-strong quasi-uniform convergence

Tatra Mountains Mathematical Publications

Volume 52 (2012): Issue 1 (August 2012)

By: Robert Drozdowski and Agata Sochaczewska

Open Access

|Nov 2012

Abstract

Using ideals, we introduce a new class of topological spaces that are more general concept than R0 spaces [Cs´asz´ar, ´ A.: General Topology. Akad- ´emiai Kiad´o, Budapest, 1978]. Different properties will be studied for that class of topological spaces. We also define a new kind of convergence for sequences of functions and formulate more general results to those contained in [Sochaczewska, A.: The strong quasi-uniform convergence, Math. Montisnigri 15 (2002), 45-55].

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-012-0023-y | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 29 - 45

Published on: Nov 19, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

quasi-strong convergence,

ℑ-open covers,

continuous function,

ℑ-T<sub>3</sub> space,

ℑ-R<sub>0</sub> space.

Related subjects:

Mathematics,

General mathematics

© 2012 Robert Drozdowski, Agata Sochaczewska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 52 (2012): Issue 1 (August 2012)