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

arxiv: math/0210414 · v1 · submitted 2002-10-27 · 🧮 math.AT · math.GR

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

Norio Iwase , Mamoru Mimura , Tetsu Nishimoto This is my paper

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keywords spincellulardecompositioncategoriescategorycompactconnecteddetermine

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We give a cellular decomposition of the compact connected Lie group $Spin(7)$. We also determine the L-S categories of $Spin(7)$ and $Spin(8)$.

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