The non-existence of odd primary Arf invariant elements in stable homotopy

DOI10.1017/S0305004100054712zbMath0374.55023OpenAlexW2093093846MaRDI QIDQ4151396

Douglas C. Ravenel

Publication date: 1978

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100054712

Mathematics Subject Classification ID

Algebraic number theory: local fields (11S99) Other types of cobordism (57R90) Adams spectral sequences (55T15) Algebraic functions and function fields in algebraic geometry (14H05) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Stable homotopy of spheres (55Q45)

Related Items (17)

On the nonexistence of elements of Kervaire invariant one ⋮ Odd primary analogs of real orientations ⋮ A correspondence between higher Adams differentials and higher algebraic Novikov differentials at odd primes ⋮ Beta families arising from a \(v_2^9\) self-map on \(S/(3, v_1^8)\) ⋮ On the EO$\mathrm{EO}$‐orientability of vector bundles ⋮ Picard groups of higher real -theory spectra at height ⋮ Cohomology algebras with two generators ⋮ The Kervaire invariant problem ⋮ Models of Lubin-Tate spectra via real bordism theory ⋮ Atomicity for Anick's spaces ⋮ On R. L. Cohen's \(\zeta \)-element ⋮ The Smith-Toda complex \(V((p + 1)/2)\) does not exist ⋮ The Hopf ring for complex cobordism ⋮ The 5-local homotopy of \(eo_{4}\) ⋮ The fibre of the degree 3 map, Anick spaces and the double suspension ⋮ Real orientations of Lubin-Tate spectra ⋮ Formal A-modules and the Adams-Novikov spectral sequence

Cites Work

• Unnamed Item
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• On the structure and applications of the Steenrod algebra
• On the non-existence of elements of Hopf invariant one
• The structure of Morava stabilizer algebras
• The structure of \(BP\ast BP\) modulo an invariant prime ideal
• The cohomology of the Morava stabilizer algebras
• A new infinite family in \(_2\pi^s_1\)
• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
• Formal groups
• Matric Massey products
• The Kervaire invariant of framed manifolds and its generalization
• The Adams-Novikov spectral sequence for the spheres
• Novikov's ${\text{Ext}}^2$ and the nontriviality of the gamma family
• THE METHODS OF ALGEBRAIC TOPOLOGY FROM THE VIEWPOINT OF COBORDISM THEORY
• On the formal group laws of unoriented and complex cobordism theory
• On Realizing Complex Bordism Modules: Applications to the Stable Homotopy of Spheres

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