55XX 


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 
EilenbergMac Lane spaces 


55P25 
SpanierWhitehead duality 


55P30 
EckmannHilton 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] 


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 