Homogeneous weak solenoids

Fokkink, Robbert; Oversteegen, Lex

doi:10.1090/S0002-9947-02-03017-9

Homogeneous weak solenoids
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by Robbert Fokkink and Lex Oversteegen PDF

Trans. Amer. Math. Soc. 354 (2002), 3743-3755 Request permission

Abstract:

A (generalized) weak solenoid is an inverse limit space over manifolds with bonding maps that are covering maps. If the covering maps are regular, then we call the inverse limit space a strong solenoid. By a theorem of M.C. McCord, strong solenoids are homogeneous. We show conversely that homogeneous weak solenoids are topologically equivalent to strong solenoids. We also give an example of a weak solenoid that has simply connected path-components, but which is not homogeneous.

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