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55Pxx
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Homotopy theory
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{For simple homotopy type, see 57Q10}
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- 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
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