The secondary Ext groups of the secondary cohomology of the fibers F_n, F_{nZ}, and F are determined as direct sums of F2, polynomial algebras on h0, and suspended copies of F2 in specific bidegrees.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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 $E_3$ and we determine the value of $E_3 = E_\infty$. Notably, we do not need to determine the cohomology of the fiber or the $E_2$ term of the Adams spectral sequence to do this.
fields
math.AT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Secondary Ext of the Fiber of $Sq^n$ and the Secondary Adams Spectral Sequence
The secondary Ext groups of the secondary cohomology of the fibers F_n, F_{nZ}, and F are determined as direct sums of F2, polynomial algebras on h0, and suspended copies of F2 in specific bidegrees.