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55Rxx

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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, 19-xx}
  • 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