Bounding the rational LS-category of certain spaces via the Hilbert function.

DOI10.1016/S0166-8641(03)00035-XzbMath1038.55005MaRDI QIDQ1403826

Antonio Garvín, Luis Lechuga

Publication date: 4 September 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Gröbner basisrational homotopyLusternik-Schnirelmann categoryHilbert's function

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30)

Uses Software

• CoCoA

Cites Work

• Unnamed Item
• Infinitesimal computations in topology
• Some features of \(CoCoA 3\)
• The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes
• A Gröbner basis algorithm for computing the rational L.-S. category of elliptic pure spaces
• Complexity in rational homotopy
• Computing the Sullivan Milnor-Moore S. S. and the rational LS category of certain spaces
• Lectures on minimal models
• Finiteness in the Minimal Models of Sullivan
• Lifting standard bases in filtered structures
• Rational L.-S. Category and Its Applications

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