On a characterization of compact frames by nets

Elizabeth Reshma M.T., T.P. Johnson

Abstract


In this paper we analyze the property of compactness and almost compactness in frames using nets. By introducing and investigating net convergence in frames, we characterize almost compact frames and regular compact frames as frames where every net clusters. With the aid of the results derived, we also present here a characterization of minimal Hausdorff frames through nets.

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Published: 2019-02-08

How to Cite this Article:

Elizabeth Reshma M.T., T.P. Johnson, On a characterization of compact frames by nets, Advances in Inequalities and Applications, Vol 2019 (2019), Article ID 3

Copyright © 2019 Elizabeth Reshma M.T., T.P. Johnson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Inequalities and Applications

ISSN 2050-7461

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