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
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