Betweenness isomorphism classes of circles with finitely many points inside

Fuente: arXiv
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Auteurs principaux: Doležal, Martin, Kolář, Jan, Morawiec, Janusz
Format: Preprint
Publié: 2023
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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