On Lusternik–Schnirelmann category of ${\bf SO}(10)$

DOI10.4064/fm678-11-2015zbMath1358.55002arXiv0712.3637OpenAlexW1752943442MaRDI QIDQ3178232

Norio Iwase, Kai Kikuchi, Toshiyuki Miyauchi

Publication date: 8 July 2016

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3637

zbMATH Keywords

Hopf invariantspecial orthogonal groupsLusternik-Schnirelmann categorycone-length

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Adams spectral sequences (55T15) Fiber bundles in algebraic topology (55R10) Hopf invariants (55Q25) Serre spectral sequences (55T10)

Related Items (5)

Lusternik-Schnirelmann \(\pi_{1}\)-category of non-simply connected simple Lie groups ⋮ On the Lusternik-Schnirelmann category of Stiefel manifolds ⋮ Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point ⋮ Oriented robot motion planning in Riemannian manifolds ⋮ CATEGORY AND TOPOLOGICAL COMPLEXITY OF THE CONFIGURATION SPACE

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• On the cell structures of $SU \left( n \right)$ and $Sp\left( n \right)$
• Ganea's Conjecture on Lusternik-Schnirelmann Category
• Homotopy Associativity of H-Spaces. I

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