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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.05708 |
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| _version_ | 1866910696127594496 |
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| author | Doležal, Martin Kolář, Jan Morawiec, Janusz |
| author_facet | Doležal, Martin Kolář, Jan Morawiec, Janusz |
| contents | We give a necessary and sufficient condition for two circles, each with finitely many points added inside, to be betweenness isomorphic. We fully characterize the betweenness isomorphism classes in the family consisting of all circles with three collinear points inside. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05708 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Betweenness isomorphism classes of circles with finitely many points inside Doležal, Martin Kolář, Jan Morawiec, Janusz Metric Geometry 52C45 (Primary), 03E20, 51M04, 14L30 (Secondary) We give a necessary and sufficient condition for two circles, each with finitely many points added inside, to be betweenness isomorphic. We fully characterize the betweenness isomorphism classes in the family consisting of all circles with three collinear points inside. |
| title | Betweenness isomorphism classes of circles with finitely many points inside |
| topic | Metric Geometry 52C45 (Primary), 03E20, 51M04, 14L30 (Secondary) |
| url | https://arxiv.org/abs/2310.05708 |