Simply connected homogeneous continua are not separated by arcs

2006/11/27 by Myrto Kallipoliti, Panos Papasoglu, Kallipoliti, Myrto +1
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Mathematics · #Geological formations and processes #Geology and Paleoclimatology Research #Geomagnetism and Paleomagnetism Studies #math.GN #msc:54F15

paper · pdf · doi:10.48550/arxiv.math/0611817

15 pages, 8 figures

arxiv created 2006/11/27 · arxiv updated 2009/12/01

Abstract

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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