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Regular Points of a Subcartesian Space

Published:2009-12-04
Printed: Jun 2010
• Tsasa Lusala
• Jędrzej Śniatycki
• Jordan Watts
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Abstract

We discuss properties of the regular part $S_{\operatorname{reg}}$ of a subcartesian space $S$. We show that $S_{\operatorname{reg}}$ is open and dense in $S$ and the restriction to $S_{\operatorname{reg}}$ of the tangent bundle space of $S$ is locally trivial.
 Keywords: differential structures, singular and regular points
 MSC Classifications: 58A40 - Differential spaces