岩 瀬 則 夫 （いわせ のりお）
郵便宛て先：〒８１９-０３９５ 福岡市 西区 元岡７４４ 九州大学 数理学研究院
電子メール：iwase_AT_math.kyushu-u.ac.jp
Authors.
myself and Michihiro Sakai
Journal.
preprint.
Abstract.
There is a problem with the proof of Theorem 1.13 of [IS10] which states that for a fibrewise well-pointed space X over B, we have catBB(X) = catB*(X) and that for a locally finite simplicial complex B, we have TC(B)=TCM(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 catB*(X) and catBB(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.
- Erratum to "Topological complexity is a fibrewise L-S category" (adobe-pdf file, 77 Kbytes)