ON SOME TOPOLOGICAL PROPERTIES IN GRADUAL NORMED SPACES

Mina Ettefagh, Farnaz Y. Azari, Sina Etemad

DOI Number
https://doi.org/10.22190/FUMI2003549E
First page
549
Last page
559

Abstract


In this paper, we have investigated some topological properties of sets in a given gradual normed space. We have stated gradual Hausdorff property and then,
we have studied the relationship between gradual closed sets and gradual compact sets. Also, we have given a result about having the closure point for an innite set in a gradual normed space. In the end, we have provided some illustrative examples.


Keywords

gradual normed space; Hausdorff property; gradual numbers

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References


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DOI: https://doi.org/10.22190/FUMI2003549E

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