Hopf-Ganea invariants and weak LS category (Q5946446)

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scientific article; zbMATH DE number 1658964
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Hopf-Ganea invariants and weak LS category
scientific article; zbMATH DE number 1658964

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    Hopf-Ganea invariants and weak LS category (English)
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    27 June 2002
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    The authors define for each cofibration a generalized Hopf-Ganea invariant and use it as a tool for computing the weak category of finite CW complexes. The power of the proposed method is illustrated by a short direct proof of the classical result of \textit{P. A. Schweitzer}: catSp(2)=3 [Topology 3, 337-355 (1965; Zbl 0137.42401)].
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    Lyusternik-Shnirel'man category
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    Hopf invariants
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    symplectic groups
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