Andreas Blass, Rüdiger Göbel
Published 1994-05-23Version 1
The Baer-Specker group is the product of countably many copies of the additive group Z of integers. Assuming the continuum hypothesis, we construct a pure subgroup G of the Baer-Specker group with the following properties. Every endomorphism of G differs from a scalar multiplication by an endomorphism of finite rank. Yet G has uncountably many homomorphisms to Z.
Strong subgroup chains and the Baer-Specker group
A Cheerful Introduction to Forcing and the Continuum Hypothesis
The $ \mathbfΣ^1_2$ counterparts to statements that are equivalent to the Continuum Hypothesis
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