Title of article :
An equivariant van Kampen spectral sequence
Author/Authors :
Michele Intermont، نويسنده , , Michele، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 1997
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
Journal title :
Topology and its Applications