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

Irina Zvina | Zendy

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

Author(s) -

Irina Zvina

Publication year - 2006

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2006.1932

Subject(s) - mathematics , topological space , space (punctuation) , connected space , intersection (aeronautics) , generalization , topological vector space , zero dimensional space , topology (electrical circuits) , modulo , topological manifold , topological algebra , pure mathematics , discrete mathematics , topological tensor product , combinatorics , mathematical analysis , computer science , biochemistry , chemistry , functional analysis , engineering , gene , aerospace engineering , operating system

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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