Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-maps under the compact-open topology   This paper investigates the space $C_k(\omega^*,\omega^*)$, the space of
continuous self-maps on the Stone-\v{C}ech remainder of the integers,
$\omega^*$, equipped with the compact-open topology. Our main results are that
(1) $C_k(\omega^*,\omega^*)$ is Baire, (2) Stone-\v{C}ech extensions of
injective maps on $\omega$ form a dense set of weak $P$-points in
$C_k(\omega^*,\omega^*)$, (3) it is independent of ZFC whether
$C_k(\omega^*,\omega^*)$ contains $P$-points, and that (4)
$C_k(\omega^*,\omega^*)$ is not an $F$-space, but contains, as $\omega^*$, no
non-trivial convergent sequences.

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
22
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: ao-sci
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th