✦ LIBER ✦
Pairwise disjoint eight-shaped curves in hybrid planes
✍ Scribed by Camillo Costantini
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 121 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)