Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Selectivity properties of spaces   This paper addresses several questions of Feng, Gruenhage, and Shen which
arose from Michael's theory of continuous selections from countable spaces. We
construct an example of a space which is $L$-selective but not
$\mathbb{Q}$-selective from $\mathfrak{d}=\omega_1$, and an $L$-selective space
which is not selective for a $P$-point ultrafilter from the assumption of
$\mathsf{CH}$. We also produce $\mathsf{ZFC}$ examples of Fr\'echet spaces
where countable subsets are first countable which are not $L$-selective.

37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
1
The categories of this paper are: cs