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Open AccessArticle

Pre-Metric Spaces Along with Different Types of Triangle Inequalities

Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan
Axioms 2018, 7(2), 34; https://doi.org/10.3390/axioms7020034
Received: 25 April 2018 / Revised: 19 May 2018 / Accepted: 21 May 2018 / Published: 24 May 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications)
The T 1 -spaces induced by the pre-metric spaces along with many forms of triangle inequalities are investigated in this paper. The limits in pre-metric spaces are also studied to demonstrate the consistency of limit concept in the induced topologies. View Full-Text
Keywords: quasi-metric space; Hausdorff space; T1-space; triangle inequalities quasi-metric space; Hausdorff space; T1-space; triangle inequalities
MDPI and ACS Style

Wu, H.-C. Pre-Metric Spaces Along with Different Types of Triangle Inequalities. Axioms 2018, 7, 34. https://doi.org/10.3390/axioms7020034

AMA Style

Wu H-C. Pre-Metric Spaces Along with Different Types of Triangle Inequalities. Axioms. 2018; 7(2):34. https://doi.org/10.3390/axioms7020034

Chicago/Turabian Style

Wu, Hsien-Chung. 2018. "Pre-Metric Spaces Along with Different Types of Triangle Inequalities" Axioms 7, no. 2: 34. https://doi.org/10.3390/axioms7020034

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