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arXiv · 2607.13214

On almost disjoint families and Johnson-Lindenstrauss spaces

Antonio Avilés·Grzegorz Plebanek·Luis Sáenz
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Abstract

Every almost disjoint family $A$ of infinite subsets of $\omega$ gives rise to a scattered compact space $K_A$ and a family of Johnson-Lindenstrauss spaces JL$_p(A)$. We consider almost disjoint families arising from finitely branching trees and investigate whether they define homeomorphic compacta and isomorphic Banach spaces.

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Antonio Avilés, Grzegorz Plebanek, Luis Sáenz. 2026-07-14. On almost disjoint families and Johnson-Lindenstrauss spaces. https://arxiv.org/abs/2607.13214

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