PSEUDO-TOPOLOGICAL HYPERVECTOR SPACES AND THEIR PROPERTIE
Keywords:
Hypervector space, pseudo-continuous, strongly pseudo-continuous, pseudo-topological hypervector space, strongly pseudo-topological hypervector space, regular equivalence relationAbstract
In this paper we introduce and study the concepts of a pseudo-topological hypervector space and strongly pseudo-topological hypervector space. Further, we define a regular equivalence relation on a hypervector space and construct a new hypervector space with respect to this regular equivalence relation. Finally, by using a topology on the power set of a hypervector space, we introduce a topological hypervector space and investigate some of its properties.
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Published
2017-07-31
How to Cite
Zangiabadi, E., & Nazari, Z. (2017). PSEUDO-TOPOLOGICAL HYPERVECTOR SPACES AND THEIR PROPERTIE. Italian Journal of Pure and Applied Mathematics, 37, 643–652. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6768
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Section
Articoli - Forum Editrice
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Copyright (c) 2017 E. Zangiabadi, Z. Nazari
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
