Mathematical Sciences Classification System

55Rxx - Fiber spaces and bundles
[See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25]

  • 1
    55R05
    Fiber spaces
  • 2
    55R10
    Fiber bundles
  • 55R12
    Transfer
  • 55R15
    Classification
  • 1
    55R20
    Spectral sequences and homology of fiber spaces [See also 55Txx]
  • 55R25
    Sphere bundles and vector bundles
  • 1
    55R35
    Classifying spaces of groups and H-spaces
  • 1
    55R37
    Maps between classifying spaces
  • 2
    55R40
    Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20]
  • 1
    55R45
    Homology and homotopy of BO and B 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
  • 1
    55R70
    Fibrewise topology
  • 2
    55R80
    Discriminantal varieties, configuration spaces
  • 55R91
    Equivariant fiber spaces and bundles [See also 19L47]
  • 55R99
    None of the above, but in this section

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