Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operators on the Stopping Time Space   Let $S^1$ be the stopping time space and $\mathcal{B}_1(S^1)$ be the Baire-1
elements of the second dual of $S^1$. To each element $x^{**}$ in the space
$\mathcal{B}_1(S^1)$ we associate a positive Borel measure $\mu_{x^{**}}$ on
the Cantor set. We use the measures $\{\mu_{x^{**}}:
x^{**}\in\mathcal{B}_1(S^1) \}$ to characterize the operators $T:X\to S^1$,
defined on a space $X$ with an unconditional basis, which preserve a copy of
$S^1$. In particular, we show that $T$ preserves a copy of $S^1$ if and only if
the set $\{\mu_{x^{**}}:\;x^{**}\in\mathcal{B}_1(S^1)\}$ is non separable as a
subset of $\mathcal{M}(2^\mathbb{N})$.

36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom