Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Banach-Stone-like results for combinatorial Banach spaces   We show that under a certain topological assumption on two compact hereditary
families $\F$ and $\G$ on some infinite cardinal $\kappa$, the corresponding
combinatorial spaces $X_\F$ and $X_\G$ are isometric if and only if there is a
permutation of $\kappa$ inducing a homeomorphism between $\F$ and $\G$. We also
prove that two different regular families $\F$ and $\G$ on $\omega$ cannot be
permuted one to the other. Both these results strengthen the main result of
\cite{BrechFerencziTcaciuc}.

9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th