Pairwise disjoint eight-shaped curves in hybrid planes

Mathematical Logic Quarterly 53 (6):551-557 (2007)
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Abstract

We introduce a suitable notion of eight-shaped curve in the product S × ℝ of a Suslin line S for the real line ℝ, and we prove that if S is dense in itself, then every collection of pairwise disjoint eight-shaped curves in S × ℝ is countable. This parallels a folklore result which holds for the real plane

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10.1002/malq.200710003

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