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arXiv · 1810.07975

On the topology of n-normed spaces with respect to norms of its quotient spaces

Harmanus Batkunde·Hendra Gunawan
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Abstract

In this paper, we study some topological characteristics of the n-normed spaces. We observe convergence sequences, closed sets, and bounded sets in the n-normed spaces using norms of quotient spaces that will be constructed. These norms will be a new viewpoint in observing the characteristics of the n-normed spaces. By using these norms, we also review the completeness of the n-normed spaces.

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BibTeXRIS

Harmanus Batkunde, Hendra Gunawan. 2018-10-18. On the topology of n-normed spaces with respect to norms of its quotient spaces. https://arxiv.org/abs/1810.07975

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