The Journal of the Indian Mathematical Society

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Ideals in the Lattice of Topologies


Affiliations
1 Ohio State University, Ohio, United States
2 Indian Statistical Institute, Calcutta, India
     

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In this paper we study ideals in the lattice L of all topologies on a set X. This paper is divided into two sections. Pertinent definitions with some preliminary results are given in section 1. In section 2 a characterization of maximal ideals in L is obtained.
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  • Ideals in the Lattice of Topologies

Abstract Views: 180  |  PDF Views: 0

Authors

A. R. Padmanabhan
Ohio State University, Ohio, United States
B. V. Rao
Indian Statistical Institute, Calcutta, India

Abstract


In this paper we study ideals in the lattice L of all topologies on a set X. This paper is divided into two sections. Pertinent definitions with some preliminary results are given in section 1. In section 2 a characterization of maximal ideals in L is obtained.