On the existence of the self map v₂⁹ on the Smith-Toda complex V(1) at the prime 3
Behrens, Mark · Pemmaraju, Satya
Original · EN
Let V(1) be the Smith-Toda complex at the prime 3. We prove that there exists a map v₂⁹: Σ¹⁴⁴V(1) → V(1) that is a K(2) equivalence. This map is used to construct various v₂-periodic infinite families in the 3-primary stable homotopy groups of spheres.
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