A counterexample concerning line-free groups and complete Erdos space

Dijkstra, Jan; van Mill, Jan

doi:10.1090/S0002-9939-06-08232-3

A counterexample concerning line-free groups and complete Erdos space
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by Jan J. Dijkstra and Jan van Mill PDF

Proc. Amer. Math. Soc. 134 (2006), 2281-2283 Request permission

Abstract:

We present a weakly closed, one-dimensional, line-free subgroup of the separable Banach space $c$ that is not homeomorphic to complete Erdős space. The existence of this example disproves a conjecture of Dobrowolski, Grabowski, and Kawamura.

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