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- Title
A New Type of Topological Vector space Via 𝓉 <sup>𝜔</sup> Approach Structure.
- Authors
Neamah, Maysoon A.; Hussein, Boushra Y.
- Abstract
The major aim of this work is to introduce the connotation of 𝓉𝜔 - approach topological vector space, which is an protraction of 𝓉𝜔 - topological vector space. In this paper, we clarify the relation between metric space and an approach space, we define 𝓉𝜔 - contraction function and prove many new properties and exist some results, furthermore, we define 𝓉𝜔 - approach group and introduce some examples in the 𝓉𝜔 - approach group. We describe the 𝓉𝜔 - approach subgroup and find the relation between 𝓉𝜔 - topological space and 𝓉𝜔 - approach space. We give the important and adequate condition to get 𝓉𝜔 - approach topological space. Finally, we define 𝓉𝜔 - approach vector space, 𝓉𝜔 - approach subspace, and 𝓉𝜔 - topological vector space.
- Subjects
VECTOR spaces; TOPOLOGICAL spaces; METRIC spaces; TOPOLOGY; SUBSPACES (Mathematics)
- Publication
Journal of Algebraic Statistics, 2022, Vol 13, Issue 3, p2714
- ISSN
1309-3452
- Publication type
Article