The Fiber of Sqn
Abstract
A colleague asked about the Adams filtrations of the homotopy classes in the homotopy of the fiber of a particular map between GEMs. The theorem proved in arXiv:2105.02601v3 [math.AT] proves to be effective in answering this (Theorem 4.4). We show that this and some related Adams spectral sequences all collapse at E3 and we determine the value of E3 = E∞. Notably, we do not need to determine the cohomology of the fiber or the E2 term of the Adams spectral sequence to do this.
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