Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Continuous Path of Singular Masas in the Hyperfinite II_1 Factor   Using methods of R.J.Tauer we exhibit an uncountable family of singular masas
in the hyperfinite $\textrm{II}_1$ factor $\R$ all with Puk\'anszky invariant
$\{1\}$, no pair of which are conjugate by an automorphism of $R$. This is done
by introducing an invariant $\Gamma(A)$ for a masa $A$ in a \IIi factor $N$ as
the maximal size of a projection $e\in A$ for which $A e$ contains non-trivial
centralising sequences for $eN e$. The masas produced give rise to a continuous
map from the interval $[0,1]$ into the singular masas in $\R$ equiped with the
$d_{\infty,2}$-metric.
  A result is also given showing that the Puk\'anszky invariant is
$d_{\infty,2}$-upper semi-continuous. As a consequence, the sets of masas with
Puk\'anszky invariant $\{n\}$ are all closed.

22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin