Mathematical Sciences Classification System
55-XX - Algebraic topology
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55-00General reference works (handbooks, dictionaries, bibliographies, etc.)
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55-01Instructional exposition (textbooks, tutorial papers, etc.)
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55-02Research exposition (monographs, survey articles)
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55-03Historical (must also be assigned at least one classification number from Section 01)
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55-04Explicit machine computation and programs (not the theory of computation or programming)
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55-06Proceedings, conferences, collections, etc.
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(+26)Classical topics
{For the topology of Euclidean spaces and manifolds, see 57Nxx} -
(+26)Homology and cohomology theories
[See also 57Txx] -
(+33)Homotopy theory
{For simple homotopy type, see 57Q10} -
(+6)Homotopy groups
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(+12)
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(+15)Operations and obstructions
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(+5)
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(+21)Applied homological algebra and category theory
[See also 18Gxx]