Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological dimensions of ring spectra   We define homological dimensions for S-algebras, the generalized rings that
arise in algebraic topology. We compute the homological dimensions of a number
of examples, and establish some basic properties. The most difficult
computation is the global dimension of real K-theory KO and its connective
version ko at the prime 2. We show that the global dimension of KO is 1, 2, or
3, and the global dimension of ko is 4 or 5.

16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs