The unstable Adams spectral sequence for generalized homology

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On the unstable Adams spectral sequence for SO and U , and splittings of unstable Ext groups ∗

Let U denote the category of unstable modules over the mod 2 Steenrod algebra A, and let Ext(−) = ExtsU(−,ΣZ2). Let M∞ = H̃∗(ΣCP∞ + ) denote the unstable A-module with nonzero classes xi such that i is odd and positive, and Sqx2k+1 = ( k j ) x2(j+k)+1. Then H∗(U) ≈ U(M∞), where the left side is the mod 2 cohomology of the infinite unitary group, and the right side the free unstable A-algebra gen...

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ژورنال

عنوان ژورنال: Topology

سال: 1978

ISSN: 0040-9383

DOI: 10.1016/0040-9383(78)90028-9