• Title of article

    An equivariant van Kampen spectral sequence

  • Author/Authors

    Michele Intermont، نويسنده , , Michele، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 1997
  • Pages
    18
  • From page
    31
  • To page
    48
  • Abstract
    This paper constructs an equivariant homotopy spectral sequence for any finite group G, any finite dimensional representation V, and two suitably connected G-CW complexes X and Y. The spectral sequence converges to the collection of equivariant homotopy groups of the wedge of X and Y, while the E2 term depends only on the equivariant homotopy groups of X and of Y, along with primary homotopy operations. The edge homomorphism of the spectral sequence is actually an isomorphism in a range, which is the equivariant van Kampen theorem of L.G. Lewis Jr. When G is the trivial group, the spectral sequence reduces to that of C.R. Stover.
  • Keywords
    Van Kampen theorem , Equivariant homotopy theory
  • Journal title
    Topology and its Applications
  • Serial Year
    1997
  • Journal title
    Topology and its Applications
  • Record number

    1579110