The whitehead squares [l2i − 1, l2i − 1] ϵ π2i + 1 − 3(S2i − 1) are projective

Topology - Tập 34 - Trang 411-422 - 1995
Lin Wen-Hsiung1
1Department of Mathematics National tsing Hua University Hsinchu, Taiwan 30043 ROC

Tài liệu tham khảo

Adams, 1960, On the non-existence of elements of Hopf invariant one, Ann. Math., 72, 20, 10.2307/1970147 Adams, 1974, Operations of the nth Kind in K-theory and What we Don't Know About Rρ∞, 1 Atiyah, 1961, Thom complexes, 11, 291 Barratt, 1983, The Kervaire invariant problem, Contemp. Math. Amer. Math. Soc., 19, 9, 10.1090/conm/019/711039 Barratt, 1984, Relations amongst Toda brackets and the Kervaire invariant in dimension 62, J. London Math. Soc., 30, 533, 10.1112/jlms/s2-30.3.533 Bousfield, 1970, The mod-p lower central series and the Adams spectral sequence II, Topology, 9, 309, 10.1016/0040-9383(70)90055-8 Brown, 1987, The Adams Spectral Sequence of Ω2S3 and Brown-Gitler Spectra, Algebraic Topology and Algebraic k-Theory, 101 Brown, 1973, A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra, Topology, 12, 282, 10.1016/0040-9383(73)90014-1 Brown, 1978, On the stable decomposition of Ω2Sr + 2, Trans Amer. Math Soc., 243, 287, 10.1090/S0002-9947-1978-0500933-4 Carlsson, 1983, G. B. Segal's Burnside ring conjecture for (Z)2)k, Topology, 22, 83, 10.1016/0040-9383(83)90046-0 Cohen, 1978, The stable decomposition of the double loop space of spheres, Vol. 32, 225 Davis, 1974, The antiautomorphism of the Steenrod algebra, 44, 228 James, 1976, The Topology of Stiefel Manifolds Kochman, 1990, Stable Homotopy Groups of Spheres: A Computer-Assisted Approach, 10.1007/BFb0083795 Lin, 1990, Projectivity of the Whitehead product in spheres, 110, 527 Lin, 1993, Projectivity of the Whitehead product in speres II, Contemporary, Math. AMS, 146, 199 Mahowald, 1977, A new infinite family in 2π∗S, Topology, 16, 249, 10.1016/0040-9383(77)90005-2 Mahowald, 1967, Some differentials in the Adams spectral sequence, Topology, 6, 349, 10.1016/0040-9383(67)90023-7 Milgram, 1977, Projective stable stems of spheres, Bol. Soc. Mat. Mexicana, 22, 48 Milgram, 1977, Even Whitehead squares are not projective, Can. J. Math., 29, 957, 10.4153/CJM-1977-096-9 Randall, 1973, Projectivity of the Whitehead squares, 40, 606 Toda, 1962, Composition Methods in the Homotopy Groups of Spheres, Vol. 49 Whitehead, 1944, On the groups π∗(vn,m) and sphere bundles, 48, 243