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

• Zvina, Irina ^[1]
  1. [1] University of Latvia

     University of Latvia

     Letonia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 7, Nº. 1, 2006, págs. 51-66
• Idioma: inglés
• DOI: 10.4995/agt.2006.1932
• Enlaces
  • Texto completo
• Resumen

  • 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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