Baire category theorem for the symmetric topology of sublinear quasi-metrics in locally convex cones

Document Type : Original Paper

Authors

Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran

Abstract

In this paper, we investigate the completeness of cones in the symmetric topology ‎induced ‎the ‎sublinear ‎quasi-metrics‎ and prove that in the symmetric complete cone the symmetric neighborhoods are of the second category. Then we present an extension of the Baire category theorem for the symmetric topology of locally convex quasi-metric cones.

Keywords

Main Subjects


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