Computing the Sullivan Milnor-Moore S. S. and the rational LS category of certain spaces

DOI10.1016/S0166-8641(01)00304-2zbMath1010.55002OpenAlexW2169854369MaRDI QIDQ1862113

Luis Lechuga

Publication date: 10 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00304-2

zbMATH Keywords

rational homotopy theoryLyusternik-Shnirel'man categoryGroebner bases

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Spectral sequences in algebraic topology (55T99)

Related Items (1)

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

Uses Software

• CoCoA

Cites Work

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• The top cohomology class of certain spaces
• 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
• Lusternik-Schnirelmann category and strong category
• Lectures on minimal models
• New Estimates for the Collapse of the Milnor-Moore Spectral Sequence over a Field
• Finiteness in the Minimal Models of Sullivan
• Lifting standard bases in filtered structures
• Sharp Effective Nullstellensatz
• Rational L.-S. Category and Its Applications
• On the Lusternik-Schnirelmann category
• The fundamental class of a rational space, the graph coloring problem and other classical decision problems

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