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Another homogeneous, non-bihomogeneous Peano continuum

1997/11/29 by Greg Kuperberg
Mathematics · #math.GN

paper · pdf

published as Bull. Polish Acad. Sci. Math. 44:457-460 (1997) · 3 pages

arxiv created 1997/11/29 · arxiv updated 2009/11/30

Abstract

K. Kuperberg found a locally connected, finite-dimensional continuum which is homogeneous but not bihomogeneous. We give a similar but simpler example. Like previous constructions, the example is locally a Cartesian product of Menger spaces. The new idea is to choose a fundamental group in which not every element is conjugate to its inverse.

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