Corrigendum to “On the conjecture of Ulam on the invariance of measure in the Hilbert cube” (Colloq. Math. 152 (2018), 79–95)
Tom 164 / 2021
Colloquium Mathematicum 164 (2021), 161-170
MSC: Primary 28C10; Secondary 28C20.
DOI: 10.4064/cm7145C-12-2018
Opublikowany online: 5 August 2020
Streszczenie
In this corrigendum, we mainly revise Lemma 5.1 of the paper by introducing an extension of the surjective d_a-isometry f : J \to K, where J is an infinite-dimensional interval defined as J = \prod _{i=1}^\infty J_i with intervals J_i = [ p_{1i}, p_{2i} ] (0 \leq p_{1i} \lt p_{2i} \leq 1 for i \in \{ 1, \ldots , n \} and p_{1i} = 0, p_{2i} = 1 for i \gt n) and with the generalized linear span {\rm GS}(J,p) of J with respect to p.
