La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Question : CC = 55Pxx
55-XX Algebraic topology

• 55Pxx Homotopy theory [For simple homotopy type, see 57Q10]
• 55P05 Homotopy extension properties, cofibrations
• 55P10 Homotopy equivalences
• 55P15 Classification of homotopy type
• 55P20 Eilenberg-Mac Lane spaces
• 55P25 Spanier-Whitehead duality
• 55P30 Eckmann-Hilton duality
• 55P35 Loop spaces
• 55P40 Suspensions
• 55P42 Stable homotopy theory, spectra
• 55P43 Spectra with additional structure (E, A, ring spectra, etc.) [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 55P42, 55U35, 55P47
• 55P45 H-spaces and duals
• 55P47 Infinite loop spaces
• 55P48 Loop space machines, operads [See also 18D50] [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 55P47, 55U35, 55P42
• 55P55 Shape theory [See also 54C56, 55Q07]
• 55P57 Proper homotopy theory [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 55P15, 55P99, 55P55
• 55P60 Localization and completion
• 55P62 Rational homotopy theory
• 55P65 Homotopy functors
• 55P91 Equivariant homotopy theory [See also 19L47]
• 55P92 Relations between equivariant and nonequivariant homotopy theory [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 55P91
• 55P99 None of the above, but in this section

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