Intersections of compact simply connected planar sets

In a recent paper, M. Breen has proved a Helly-type theorem for families of simple polygons in the plane. It is shown here that this result is a corollary of a well-known theorem of Molnár about families of compact and simply connected sets in the plane. A more general Helly-type theorem is establis...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Toranzos, F.A.
Formato: JOUR
Materias:
Helly-type theorems
Molnár's Theorem
Simple polygons
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00379565_v66_n5_p349_Toranzos
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00379565_v66_n5_p349_Toranzos
record_format dspace
spelling todo:paper_00379565_v66_n5_p349_Toranzos2023-10-03T14:48:10Z Intersections of compact simply connected planar sets Toranzos, F.A. Helly-type theorems Molnár's Theorem Simple polygons In a recent paper, M. Breen has proved a Helly-type theorem for families of simple polygons in the plane. It is shown here that this result is a corollary of a well-known theorem of Molnár about families of compact and simply connected sets in the plane. A more general Helly-type theorem is established. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00379565_v66_n5_p349_Toranzos
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Helly-type theorems
Molnár's Theorem
Simple polygons
spellingShingle Helly-type theorems
Molnár's Theorem
Simple polygons
Toranzos, F.A.
Intersections of compact simply connected planar sets
topic_facet Helly-type theorems
Molnár's Theorem
Simple polygons
description In a recent paper, M. Breen has proved a Helly-type theorem for families of simple polygons in the plane. It is shown here that this result is a corollary of a well-known theorem of Molnár about families of compact and simply connected sets in the plane. A more general Helly-type theorem is established.
format JOUR
author Toranzos, F.A.
author_facet Toranzos, F.A.
author_sort Toranzos, F.A.
title Intersections of compact simply connected planar sets
title_short Intersections of compact simply connected planar sets
title_full Intersections of compact simply connected planar sets
title_fullStr Intersections of compact simply connected planar sets
title_full_unstemmed Intersections of compact simply connected planar sets
title_sort intersections of compact simply connected planar sets
url http://hdl.handle.net/20.500.12110/paper_00379565_v66_n5_p349_Toranzos
work_keys_str_mv AT toranzosfa intersectionsofcompactsimplyconnectedplanarsets
_version_ 1807324234166304768

Ejemplares similares