Simply connected homogeneous continua are not separated by arcs

We show that locally connected, simply connected homogeneous continua are not separated by arcs. We ask several questions about homogeneous continua which are inspired by analogous questions in geometric group theory.

Bibliographic Details
Main Authors: Kallipoliti, M, Papasoglu, P
Format: Journal article
Language:English
Published: 2006
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author Kallipoliti, M
Papasoglu, P
author_facet Kallipoliti, M
Papasoglu, P
author_sort Kallipoliti, M
collection OXFORD
description We show that locally connected, simply connected homogeneous continua are not separated by arcs. We ask several questions about homogeneous continua which are inspired by analogous questions in geometric group theory.
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spelling oxford-uuid:4a8d81f9-a289-4c89-abe5-5259a7b1ec572022-03-26T15:38:09ZSimply connected homogeneous continua are not separated by arcsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4a8d81f9-a289-4c89-abe5-5259a7b1ec57EnglishSymplectic Elements at Oxford2006Kallipoliti, MPapasoglu, PWe show that locally connected, simply connected homogeneous continua are not separated by arcs. We ask several questions about homogeneous continua which are inspired by analogous questions in geometric group theory.
spellingShingle Kallipoliti, M
Papasoglu, P
Simply connected homogeneous continua are not separated by arcs
title Simply connected homogeneous continua are not separated by arcs
title_full Simply connected homogeneous continua are not separated by arcs
title_fullStr Simply connected homogeneous continua are not separated by arcs
title_full_unstemmed Simply connected homogeneous continua are not separated by arcs
title_short Simply connected homogeneous continua are not separated by arcs
title_sort simply connected homogeneous continua are not separated by arcs
work_keys_str_mv AT kallipolitim simplyconnectedhomogeneouscontinuaarenotseparatedbyarcs
AT papasoglup simplyconnectedhomogeneouscontinuaarenotseparatedbyarcs