On lusternik-schnirelmann category of SO(10)

Norio Iwase, Kai Kikuchi, Toshiyuki Miyauchi

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)


    Let G be a compact connected Lie group and p: E → ΣA be a principal G-bundle with a characteristic map α: A → G, where A = ΣA0 for some A0. Let {Ki → Fi-1↪ Fi | 1 ≤ i ≤ m} with F0 = {∗}, F1 = ΣK1 and Fm ≈ G be a cone-decomposition of G of length m and F1' = ΣK1' ⊂ F1 with K1' ⊂ K1 which satisfy FiF1' ⊂ Fi+1 up to homotopy for all i. Then cat(E) ≤ m + 1, under suitable conditions, which is used to determine cat(SO(10)). A similar result was obtained by Kono and the first author (2007) to determine cat(Spin(9)), but that result could not yield cat(E) ≤ m + 1.

    Original languageEnglish
    Pages (from-to)201-227
    Number of pages27
    JournalFundamenta Mathematicae
    Issue number3
    Publication statusPublished - 2016

    All Science Journal Classification (ASJC) codes

    • Algebra and Number Theory


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