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Metric 1-spaces

Weiss, Ittay (2012) Metric 1-spaces. [Professional and Technical Reports]

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A generalization of metric space is presented which is shown to admit a theory strongly related to that of ordinary metric spaces. To avoid the topological effects related to droping any of the axioms of metric space, first a new, and equivalent, axiomatization of metric space is given which is then generalized from a fresh point of view. Naturally arising examples from metric geometry are presented.

Item Type: Professional and Technical Reports
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User: Ittay Weiss
Date Deposited: 19 Mar 2015 23:44
Last Modified: 19 Jan 2017 03:22

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