Another homogeneous, non-bihomogeneous Peano continuum

Details Another homogeneous, non-bihomogeneous Peano continuum Another homogeneous, non-bihomogeneous Peano continuum

1997-11-29

arxiv.org/abs/math/9712206v1

Bull. Polish Acad. Sci. Math. 44:457-460 (1997)

Mathematics

General Topology

3 pages

Scientific paper

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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