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


  • Irina Zvina University of Latvia




Compatible ideal, Generalization, Topological space


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.


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Author Biography

Irina Zvina, University of Latvia

Institute of Mathematics of Latvian Academy of Sciences


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How to Cite

I. Zvina, “On i-topological spaces: generalization of the concept of a topological space via ideals”, Appl. Gen. Topol., vol. 7, no. 1, pp. 51–66, Apr. 2006.



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