Only 3-generalized metric spaces have a compatible symmetric topology-Reference-Cited by-同舟云学术

Only 3-generalized metric spaces have a compatible symmetric topology

Published:2015-01-04 Issue:1 Volume:13 Page:
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Suzuki Tomonari,Alamri Badriah,Kikkawa Misako

Abstract

AbstractWe prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2015-0048/pdf

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