Corrigendum to "On the conjecture of Ulam on the invariance of measure in the Hilbert cube" (Colloq. Math. 152 (2018), 79--95)
- Authors
- Jung, Soon-Mo; Kim, Eui Chul
- Issue Date
- May-2021
- Publisher
- ARS POLONA-RUCH
- Keywords
- invariant measures; conjecture of Ulam; Hilbert cube
- Citation
- COLLOQUIUM MATHEMATICUM, v.164, no.1, pp.161 - 170
- Journal Title
- COLLOQUIUM MATHEMATICUM
- Volume
- 164
- Number
- 1
- Start Page
- 161
- End Page
- 170
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/16136
- DOI
- 10.4064/cm7145C-12-2018
- ISSN
- 0010-1354
- Abstract
- In this corrigendum, we mainly revise Lemma 5.1 of the paper by introducing an extension F : GS(J, p) -> M-a of the surjective d(a)-isometry f : J -> K, where J is an infinite-dimensional interval defined as J = pi(infinity)(i=1) J(i) with intervals J(i) = [p(1i), p(2i)] (0 <= p(1i) < p(2i) <= 1 for i is an element of {1, ... , n} and p(1i) = 0, p(2i) = 1 for i > n) and with the generalized linear span GS(J, p) of J with respect to p.
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