Algebraic filling inequalities and cohomological width

DOI10.2140/AGT.2019.19.2855zbMath1459.57032arXiv1703.02350OpenAlexW2996260716WikidataQ126859671 ScholiaQ126859671MaRDI QIDQ2279073

Meru Alagalingam

Publication date: 12 December 2019

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02350

zbMATH Keywords

rational homotopy theorytorifilling inequalitiesspace of cyclesessential manifoldscohomological complexitywaist inequalities

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Obstruction theory in algebraic topology (55S35) Differentiable mappings in differential topology (57R35) ?ech types (55N05) Topological properties of mappings on manifolds (58K15)

Cites Work

• Unnamed Item
• Singularities, expanders and topology of maps. II: From combinatorics to topology via algebraic isoperimetry
• Singularities, expanders and topology of maps. I: Homology versus volume in the spaces of cycles
• Filling Riemannian manifolds
• The homotopy groups of the integral cycle groups
• Large and small group homology
• Transversality and the inverse image of a submanifold with corners.
• Differential Topology
• A Few Snapshots from the Work of Mikhail Gromov

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