English

Another homogeneous, non-bihomogeneous Peano continuum

General Topology 2007-05-23 v1

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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Cite

@article{arxiv.math/9712206,
  title  = {Another homogeneous, non-bihomogeneous Peano continuum},
  author = {Greg Kuperberg},
  journal= {arXiv preprint arXiv:math/9712206},
  year   = {2007}
}

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3 pages