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- W1617372268 abstract "For a vector field <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X> <mml:semantics> <mml:mi>X</mml:mi> <mml:annotation encoding=application/x-tex>X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> on a smooth manifold <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper M> <mml:semantics> <mml:mi>M</mml:mi> <mml:annotation encoding=application/x-tex>M</mml:annotation> </mml:semantics> </mml:math> </inline-formula> there exists a smooth but not necessarily Hausdorff manifold <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper M Subscript double-struck upper R> <mml:semantics> <mml:msub> <mml:mi>M</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> </mml:mrow> </mml:msub> <mml:annotation encoding=application/x-tex>M_{mathbb {R}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and a complete vector field <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X Subscript double-struck upper R> <mml:semantics> <mml:msub> <mml:mi>X</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> </mml:mrow> </mml:msub> <mml:annotation encoding=application/x-tex>X_{mathbb {R}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> on it which is the universal completion of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-parenthesis upper M comma upper X right-parenthesis> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mi>M</mml:mi> <mml:mo>,</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>(M,X)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
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- W1617372268 date "2000-10-10" @default.
- W1617372268 modified "2023-09-27" @default.
- W1617372268 title "The flow completion of a manifold with vector field" @default.
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- W1617372268 doi "https://doi.org/10.1090/s1079-6762-00-00083-4" @default.
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