Abstract
The Lusternik-Schnirelmann category of a space is a homotopy invariant. Cone-decompositions are used to give an upper bound for Lusternik-Schnirelmann categories of topological spaces. The purpose of this paper is to construct cone-decompositions of the special unitary groups, for which we use a filtration due to Miller. We observe also that Miller's filtration is closely related to a CW-decomposition.
Citation
Hiroyuki Kadzisa. "Cone-Decompositions of the Special Unitary Groups." Bull. Belg. Math. Soc. Simon Stevin 17 (4) 749 - 764, november 2010. https://doi.org/10.36045/bbms/1290608200
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