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Definably connected nonconnected sets
Author(s) -
Fornasiero Antongiulio
Publication year - 2012
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201100062
Subject(s) - manifold (fluid mechanics) , mathematics , line (geometry) , combinatorics , physics , geometry , mechanical engineering , engineering
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.