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Advances in Inequalities and Applications ISSN 2050-7461

Archives › Volume 2019 (2019)

Adv. Inequal. Appl. 2019 (2019), Article ID 3

On a characterization of compact frames by nets

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

PDF (127.9 KB) https://doi.org/10.28919/aia/3915

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.

Published
8 February 2019
Volume
2019 (2019)
License
CC BY 3.0

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.

Cite this article

E. Reshma M.T., T. P. Johnson, On a characterization of compact frames by nets, Adv. Inequal. Appl. 2019 (2019), 3. https://doi.org/10.28919/aia/3915

BibTeX
@article{M.T.2019,
  author  = {Reshma M.T., Elizabeth and Johnson, T.P.},
  title   = {On a characterization of compact frames by nets},
  journal = {Adv. Inequal. Appl.},
  volume  = {2019},
  year    = {2019},
  pages   = {3},
  doi     = {10.28919/aia/3915}
}