Regular Points of a Subcartesian Space
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 340-346
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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.
Mots-clés :
58A40, differential structures, singular and regular points
Lusala, Tsasa; Śniatycki, Jędrzej; Watts, Jordan. Regular Points of a Subcartesian Space. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 340-346. doi: 10.4153/CMB-2010-025-0
@article{10_4153_CMB_2010_025_0,
author = {Lusala, Tsasa and \'Sniatycki, J\k{e}drzej and Watts, Jordan},
title = {Regular {Points} of a {Subcartesian} {Space}},
journal = {Canadian mathematical bulletin},
pages = {340--346},
year = {2010},
volume = {53},
number = {2},
doi = {10.4153/CMB-2010-025-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-025-0/}
}
TY - JOUR AU - Lusala, Tsasa AU - Śniatycki, Jędrzej AU - Watts, Jordan TI - Regular Points of a Subcartesian Space JO - Canadian mathematical bulletin PY - 2010 SP - 340 EP - 346 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-025-0/ DO - 10.4153/CMB-2010-025-0 ID - 10_4153_CMB_2010_025_0 ER -
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