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
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55P43 Spectra with additional structure (E1, A1, ring spectra, etc.)
(1)
- 55P45 H-spaces and duals
- 55P47 Infinite loop spaces
- 55P48 Loop space machines, operads [See also 18D50]
- 55P50 String topology
- 55P55 Shape theory [See also 54C56, 55Q07]
- 55P57 Proper homotopy theory
- 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
- 55P99 None of the above, but in this section