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...

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Detalles Bibliográficos
Publicado: 1997
Materias:
Helly-type theorems
Molnár's Theorem
Simple polygons
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos
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 paper:paper_00379565_v66_n5_p349_Toranzos
record_format dspace
spelling paper:paper_00379565_v66_n5_p349_Toranzos2023-06-08T15:02:20Z Intersections of compact simply connected planar sets 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. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos 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
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.
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
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00379565_v66_n5_p349_Toranzos
http://hdl.handle.net/20.500.12110/paper_00379565_v66_n5_p349_Toranzos
_version_ 1768545501325557760

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