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

Norio Iwase, Michihiro Sakai

6 引用 (Scopus)

### 抄録

There is a problem with the proof of Theorem 1.13 of Iwase and Sakai (2010)  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.

元の言語 英語 2810-2813 4 Topology and its Applications 159 10-11 https://doi.org/10.1016/j.topol.2012.03.009 出版済み - 6 15 2012

### Fingerprint

Topological Complexity
Topology
Theorem
Simplicial Complex
Invariant

### All Science Journal Classification (ASJC) codes

• Geometry and Topology

### これを引用

：: Topology and its Applications, 巻 159, 番号 10-11, 15.06.2012, p. 2810-2813.

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