Gradient-like flows and self-indexing in stratified Morse theory

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dc.creatorGrinberg, Mikhail
dc.date2000-06-21
dc.date2000-09-12
dc.date.accessioned2026-07-07T04:36:01Z
dc.date.available2026-07-07T04:36:01Z
dc.descriptionWe develop the idea of self-indexing and the technology of gradient-like vector fields in the setting of Morse theory on a complex algebraic stratification. Our main result is the local existence, near a Morse critical point, of gradient-like vector fields satisfying certain ``stratified dimension bounds up to fuzz'' for the ascending and descending sets. As a global consequence of this, we derive the existence of self-indexing Morse functions.
dc.description19 pages, AMS-LaTeX, replaced with revised version
dc.identifierhttps://arxiv.org/abs/math/0006163
dc.identifierhttp://arxiv.org/abs/math/0006163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59452
dc.subjectAlgebraic Geometry
dc.subjectDynamical Systems
dc.subject14J17; 32S60; 37D15
dc.titleGradient-like flows and self-indexing in stratified Morse theory
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