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< 55Nxx | 55-XX | 55Qxx >
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 ($E_\infty$, $A_\infty$, ring spectra, etc.)
55P45   ${H}$-spaces and duals
55P47   Infinite loop spaces
55P48   Loop space machines, operads [See also 18D50]
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
< 55Nxx | 55-XX | 55Qxx >
American Mathematical Society