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Regular Points of a Subcartesian Space

Published online by Cambridge University Press:  20 November 2018

Tsasa Lusala ,
Jędrzej Śniatycki  and
Jordan Watts
Tsasa Lusala
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4 e-mail: tsasa@math.ucalgary.ca e-mail: sniat@math.ucalgary.ca
Jędrzej Śniatycki
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4 e-mail: tsasa@math.ucalgary.ca e-mail: sniat@math.ucalgary.ca
Jordan Watts
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4 e-mail: jwatts@math.toronto.edu
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Abstract

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We discuss properties of the regular part ${{S}_{\text{reg}}}$ of a subcartesian space $S$. We show that ${{S}_{\text{reg}}}$ is open and dense in $S$ and the restriction to ${{S}_{\text{reg}}}$ of the tangent bundle space of $S$ is locally trivial.

Keywords

58A40differential structuressingular and regular points

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 2 , 01 June 2010 , pp. 340 - 346
Copyright
Copyright © Canadian Mathematical Society 2010

References

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