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55Pxx - Homotopy theory

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 - $$-spaces and duals
55P47 - Infinite loop spaces
55P48 - Loop space machines, operads
55P55 - Shape theory
55P57 - Proper homotopy theory
55P60 - Localization and completion
55P62 - Rational homotopy theory
55P65 - Homotopy functors
55P91 - Equivariant homotopy theory
55P92 - Relations between equivariant and nonequivariant homotopy theory
55P99 - Miscellaneous
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