On i-topological spaces: generalization of the concept of a topological space via ideals

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2006 Spain Publisher:Universitat Politecnica de ValenciaJournal:Applied General Topology, volume 7, page 51 (issn: 1576-9402, eissn: 1989-4147,

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Authors: Zvina, Irina;

doi: 10.4995/agt.2006.1932

On i-topological spaces: generalization of the concept of a topological space via ideals

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Abstract

[EN] The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are defined via ideals. Developing the concept of an i-topological space and studying structures with compatible ideals, we are concerned to clarify the necessary and sufficient conditions for a new space to be homeomorphic, in some certain sense, to a topological space.

Country

Spain

Related Organizations

Universitat Politècnica de València
Spain
University of Latvia
Latvia

Keywords

QA299.6-433, Compatible ideal, QA1-939, Generalization, Mathematics, Analysis, Topological space

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