Definably connected nonconnected sets

✍ Scribed by Antongiulio Fornasiero

• Book ID: 102488190
• Publisher: John Wiley and Sons
• Year: 2012
• Tongue: English
• Weight: 66 KB
• Volume: 58
• Category: Article
• ISSN: 0044-3050
• DOI: 10.1002/malq.201100062

✦ Synopsis

Abstract

We give an example of a structure \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal R$\end{document} on the real line, and a manifold M definable in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {R}$\end{document}, such that M is definably connected but is not connected.