On the Last Kervaire Invariant Problem
0
Prerequisites
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0.1
Spectral Sequences
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Spectral Sequences
Convergence of Spectral Sequences
Filtered Complex
Crossing of Differentials
Extension Spectral Sequence
Commutativity of Extension Differentials
0.2
Stable Homotopy Theory
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Stable Homotopy Theory
Cohomology
Adams Spectral Sequence
0.3
\(\mathrm{H}{\mathbb F}_2\)-Synthetic Spectra
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Synthetic Spectra
Synthetic Spheres
Synthetic Adams Spectral Sequence
The \(\nu \) Functor
Synthetic Rigidity
Synthetic Lift
4
Synthetic Extensions
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4.1
Lambda extensions
4.2
Delta extensions
4.3
Delta ESS and Adams differentials
4.4
Crossings on the \(E_r\)-page
4.5
Comparison of crossings
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Extensions on a classical \(E_r\)-page
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The Generalized Leibniz Rule and Generalized Mahowald Trick
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Proof of the main theorem
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Appendix: The classical Adams spectral sequence in the range \(122 \le t-s \le 127, s \le 25\)
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Bibliography
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Bibliography