Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Countable Tightness and the Grothendieck Property in $C_p$-Theory   The Grothendieck property has become important in research on the
definability of pathological Banach spaces [CI], [HT], and especially [HT20].
We here answer a question of Arhangel'ski\u{\i} by proving it undecidable
whether countably tight spaces with Lindel\"of finite powers are Grothendieck.
We answer another of his questions by proving that $\mathrm{PFA}$ implies
Lindel\"of countably tight spaces are Grothendieck. We also prove that various
other consequences of $\mathrm{MA}_{\omega_1}$ and $\mathrm{PFA}$ considered by
Arhangel'ski\u{\i}, Okunev, and Reznichenko are not theorems of $\mathrm{ZFC}$.

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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex