Erratum to "Topological complexity is a fibrewise L-S category" [Topology Appl. 157 (1) (2010) 10-21]

Norio Iwase, Michihiro Sakai

    Research output: Contribution to journalComment/debatepeer-review

    13 Citations (Scopus)


    There is a problem with the proof of Theorem 1.13 of Iwase and Sakai (2010) [2] which states that for a fibrewise well-pointed space X over B, we have cat BB(X)=cat B *(X) and that for a locally finite simplicial complex B, we have TC(B)=TC M(B). While we still conjecture that Theorem 1.13 is true, this problem means that, at present, no proof is given to exist. Alternatively, we show the difference between two invariants cat B *(X) and cat B B(X) is at most 1 and the conjecture is true for some cases. We give further corrections mainly in the proof of Theorem 1.12.

    Original languageEnglish
    Pages (from-to)2810-2813
    Number of pages4
    JournalTopology and its Applications
    Issue number10-11
    Publication statusPublished - Jun 15 2012

    All Science Journal Classification (ASJC) codes

    • Geometry and Topology


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