Weiss, Ittay (2012) Metric 1-spaces. [Professional and Technical Reports]
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Official URL: http://arxiv.org/abs/1201.3980
Abstract
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 |
| URI: | https://repository.usp.ac.fj/id/eprint/8115 |
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