2020/07/21 by Brech, Christina, Piña, Claribet · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Logic (math.LO)
paper · doi:10.48550/arxiv.2007.11071
We show that under a certain topological assumption on two compact hereditary families \F and \G on some infinite cardinal κ, the corresponding combinatorial spaces X_\F and X_\G are isometric if and only if there is a permutation of κ inducing a homeomorphism between \F and \G. We also prove that two different regular families \F and \G on ω cannot be permuted one to the other. Both these results strengthen the main result of \citeBrechFerencziTcaciuc.