55-XX |
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Algebraic topology |
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55Pxx |
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Homotopy theory {For simple homotopy type, see 57Q10} |
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55P05 |
Homotopy extension properties, cofibrations in algebraic topology |
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55P10 |
Homotopy equivalences in algebraic topology |
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55P15 |
Classification of homotopy type |
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55P20 |
Eilenberg-Mac Lane spaces |
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55P25 |
Spanier-Whitehead duality |
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55P30 |
Eckmann-Hilton duality |
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55P35 |
Loop spaces |
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55P40 |
Suspensions |
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55P42 |
Stable homotopy theory, spectra |
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55P43 |
Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.) |
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55P45 |
$H$-spaces and duals |
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55P47 |
Infinite loop spaces |
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55P48 |
Loop space machines and operads in algebraic topology [See also 18Mxx] |
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55P50 |
String topology |
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55P55 |
Shape theory [See also 54C56, 55Q07] |
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55P57 |
Proper homotopy theory |
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55P60 |
Localization and completion in homotopy theory |
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55P62 |
Rational homotopy theory |
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55P65 |
Homotopy functors in algebraic topology |
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55P91 |
Equivariant homotopy theory in algebraic topology [See also 19L47] |
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55P92 |
Relations between equivariant and nonequivariant homotopy theory in algebraic topology |
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55P99 |
None of the above, but in this section |