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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: 20 Mar 2015 11:44
    Last Modified: 19 Jan 2017 15:22

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