Bihomogeneity and Menger manifolds

Details Bihomogeneity and Menger manifolds Bihomogeneity and Menger manifolds

1998-04-19

arxiv.org/abs/math/9804085v1

Top. Appl. 84 (1998), 175-184

Mathematics

General Topology

9 pages

Scientific paper

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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