Bihomogeneity and Menger manifolds

1998/04/19 by Krystyna Kuperberg
Mathematics · #math.GN #math.AT #msc:54F35 #msc:55M99

paper · pdf

published as Top. Appl. 84 (1998), 175-184 · 9 pages

arxiv created 1998/04/19 · arxiv updated 2009/11/30

Abstract

For every triple of integers a, b, and c, such that a>O, b>0, and c>1, there is a homogeneous, non-bihomogeneous continuum whose every point has a neighborhood homeomorphic the Cartesian product of three Menger compacta m^a, m^b, and m^c. In particular, there is a homogeneous, non-bihomogeneous, Peano continuum of covering dimension four.

Related

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• Discrete homogeneity and ends of manifolds
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