Whitehead and Ganea constructions for fibrewise sectional category

DOI10.1016/j.topol.2013.10.023zbMath1285.55003arXiv1302.3845OpenAlexW2964166247MaRDI QIDQ386198

Jose M. García-Calcines

Publication date: 9 December 2013

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

Full work available at URL: https://arxiv.org/abs/1302.3845

zbMATH Keywords

topological complexityfibrewise homotopy theoryfibrewise Lyusternik-Shnirel'man categoryfibrewise sectional categorymonoidal topological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Fibrewise topology (55R70)

Related Items (1)

Formal aspects of parametrized topological complexity and its pointed version

Cites Work

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• Partitions of unity in the theory of fibrations
• Homotopy limits, completions and localizations
• The homotopy category is a homotopy category
• Weak sectional category
• Fibrewise category
• Pull-Backs in Homotopy Theory
• The genus of a fiber space

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