Bihomogeneity and Menger manifolds

Krystyna Kuperberg

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arXiv · math/9804085

Bihomogeneity and Menger manifolds

Krystyna Kuperberg

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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.

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Krystyna Kuperberg. 1998-04-19. Bihomogeneity and Menger manifolds. https://arxiv.org/abs/math/9804085

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