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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 differential structures, singular and regular points
MSC Classifications: 58A40 show english descriptions Differential spaces 58A40 - Differential spaces
 

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