Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local characterisation of approximately finite operator algebras   We show that the family of nest algebras with $r$ non-zero nest projections
is stable, in the sense that an approximate containment of one such algebra
within another is close to an exact containment. We use this result to give a
local characterisation of limits formed from this family. We then consider
quite general regular limit algebras and characterise these algebras using a
local condition which reflects the assumed regularity of the system.

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The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess