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On the topology of the set of completely unstable flows

On the topology of the set of completely unstable flows

We show that: (1) on any open manifold other than the line or plane, there exist nonsingular flows with <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Omega not-equals normal empty-set"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="normal">Ω<!-- Ω --></mml:mi> <mml:mspace width="thinmathspace" /> <mml:mo>≠<!-- ≠ --></mml:mo> <mml:mspace width="thinmathspace" /> <mml:mi mathvariant="normal">∅<!-- ∅ --></mml:mi> </mml:mrow> <mml:annotation …