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Homotopy theory, homological algebra, algebraic treatments of manifolds.

7 votes

are there finite nonabelian characteristic quotients $G$ of $F_2$ inducing a surjection $Aut...

The quaternion group $Q_8 = \langle x, y \,\vert \, xyx^{-1}y = yxy^{-1}x = 1\rangle$ has $24$ generating pairs, all Nielsen equivalent, and $24$ automorphisms. It looks like a good match, certainly t …
Luc Guyot's user avatar
  • 7,893
3 votes
Accepted

On the entries of a matrix representation for a boundary operator of a persistence module

One can certainly verify Equation 6 on several instances, but this holds true in general as a consequence of Theorem 3.1 (Correspondence Theorem) on page 7. Indeed, $\mathcal{M}_k \Doteq \{C_k^{l},\, …
Luc Guyot's user avatar
  • 7,893