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Bihomogeneity and Menger manifolds

✍ Scribed by Krystyna Kuperberg

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
626 KB
Volume
84
Category
Article
ISSN
0166-8641

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✦ Synopsis

It is shown that for every triple of integers (01, p, y) such that a > 1, /3 > 1, and y 3 2. there is a homogeneous, non-bihomogeneous continuum whose every point has a neighborhood homeomorphic to the Cartesian product of Menger compacta pa x pcLB x pr. In particular, there is a homogeneous, non-bihomogeneous Peano continuum of covering dimension four. 0 1998 Elsevier Science B.V.

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