On the cellular decomposition and the Lusternik-Schnirelmann category of Spin(7).

DOI10.1016/S0166-8641(03)00038-5zbMath1035.55005arXivmath/0210414OpenAlexW2030139278MaRDI QIDQ1403829

Norio Iwase, Tetsu Nishimoto, Mamoru Mimura

Publication date: 4 September 2003

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

Full work available at URL: https://arxiv.org/abs/math/0210414

zbMATH Keywords

Lie grouphomotopycellular decompositionstrong Lusternik-Schnirelmann categoryweak Lusternik-Schnirelmann category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) General properties and structure of other Lie groups (22E20) Cellularity in topological manifolds (57N60)

Related Items (5)

On the category weight of \(\mathrm{Spin}(n)\) ⋮ On Lusternik–Schnirelmann category of ${\bf SO}(10)$ ⋮ Lusternik--Schnirelmann category of non-simply connected compact simple Lie groups ⋮ The homotopy types of \(SU(4)\)-gauge groups over \(S^8\) ⋮ Lusternik-Schnirelmann category of 𝐒𝐩𝐢𝐧(9)

Cites Work

• On the Lusternik-Schnirelmann category of Lie groups
• Secondary cohomology operations induced by the diagonal mapping
• Lusternik-Schnirelmann category and strong category
• The topology of rotation groups
• On the cell structures of $SU \left( n \right)$ and $Sp\left( n \right)$
• On the cells of symplectic groups
• Cohomology Operations (AM-50)
• The Lusternik-Schnirelmann category of 𝑆𝑝(3)
• On the cellular decomposition of the exceptional Lie group $G_2$
• On the Groups π _r (V_n,m ) and Sphere-Bundles
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