Complexity of shadows and traversing flows in terms of the simplicial volume

DOI10.1142/S1793525316500217zbMath1348.53050arXiv1503.09131OpenAlexW2963993919MaRDI QIDQ5739424

Gabriel Katz

Publication date: 15 July 2016

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.09131

zbMATH Keywords

complexitytraversing flowsamenable localizationsimplicial norms

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Stratifications in topological manifolds (57N80)

Related Items (5)

Gromov's amenable localization and geodesic flows ⋮ SPACES OF POLYNOMIALS WITH CONSTRAINED DIVISORS AS GRASSMANIANS FOR TRAVERSING FLOWS ⋮ Flows in Flatland: a romance of few dimensions ⋮ The ball-based origami theorem and a glimpse of holography for traversing flows ⋮ Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume

Cites Work

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• Traversally generic \(\&\) versal vector flows: semi-algebraic models of tangency to the boundary
• Generalized Poincaré's conjecture in dimensions greater than four
• Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles
• Volume and bounded cohomology
• THE STRATIFIED SPACES OF REAL POLYNOMIALS AND TRAJECTORY SPACES OF TRAVERSING FLOWS
• On the Structure of Manifolds

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