Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cardinal p and a theorem of Pelczynski   We show that it is consistent that for some uncountable cardinal k, all
compactifications of the countable discrete space with remainders homeomorphic
to $D^k$ are homeomorphic to each other. On the other hand, there are $2^c$
pairwise non-homeomorphic compactifications of the countable discrete space
with remainders homeomorphic to $D^c$ (where c is the cardinality of the
continuum).

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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: stat
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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: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics