Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: MAD Families of Projections on l^2 and Real-Valued Functions on Omega   Two sets are said to be almost disjoint if their intersection is finite.
Almost disjoint subsets of [omega]^omega and omega^omega have been studied for
quite some time. In particular, the cardinal invariants a and a_e, defined to
be the minimum cardinality of a maximal infinite almost disjoint family of
[omega]^omega and omega^omega respectively, are known to be consistently less
than continuum. Here we examine analogs for functions in R^omega and
projections on l^2, showing that they too can be consistently less than
continuum.

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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th