Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Condensation rank of injective Banach spaces   The condensation rank associates any topological space with a unique ordinal
number. In this paper we prove that the condensation rank of any infinite
dimensional injective Banach space is equal to or greater than the first
uncountable ordinal number.

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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat