Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on subfactor projections   We extend some results of [BF12] on subfactor projections to show that the
projection of a free factor B to the free factor complex of the free factor A
is well-defined with uniformly bound diameter, unless either A is contained in
B or A and B are vertex stabilizers of a single splitting of F_n, i.e. they are
disjoint. These projections are shown to satisfy properties analogous to
subsurface projections, and we give as an application a construction of fully
irreducible outer automorphisms using the Bounded Geodesic Image Theorem.

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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th