55XX 


Algebraic topology 

55Rxx 

Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] 


55R05 
Fiber spaces 


55R10 
Fiber bundles 


55R12 
Transfer 


55R15 
Classification 


55R20 
Spectral sequences and homology of fiber spaces [See also 55Txx] 


55R25 
Sphere bundles and vector bundles 


55R35 
Classifying spaces of groups and $H$spaces 


55R37 
Maps between classifying spaces 


55R40 
Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20] 


55R45 
Homology and homotopy of $B{\rm O}$ and $B{\rm U}$; Bott periodicity 


55R50 
Stable classes of vector space bundles, $K$theory [See also 19Lxx} {For algebraic $K$theory, see 18F25, 19XX]} 


55R55 
Fiberings with singularities 


55R60 
Microbundles and block bundles [See also 57N55, 57Q50] 


55R65 
Generalizations of fiber spaces and bundles 


55R70 
Fibrewise topology 


55R80 
Discriminantal varieties, configuration spaces 


55R91 
Equivariant fiber spaces and bundles [See also 19L47] 


55R99 
None of the above, but in this section 