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- W2097871587 abstract "Under certain conditions on the topological space <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> we prove that for every continuous map <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=f colon upper X right-arrow upper X> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>:</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy=false>→<!-- → --></mml:mo> <mml:mi>X</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>f : X to X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> the set of all points with a dense orbit has empty interior in <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>. This result implies a negative answer to two problems proposed by M. Barge and J. Kennedy." @default.
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- W2097871587 date "2000-05-18" @default.
- W2097871587 modified "2023-10-18" @default.
- W2097871587 title "On the set of points with a dense orbit" @default.
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- W2097871587 doi "https://doi.org/10.1090/s0002-9939-00-05438-1" @default.
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