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On the multiplicativity of the Euler characteristic
John R. Klein, Cary Malkiewich, Maxime Ramzi
In this short paper, we give two proofs that the Euler characteristic is multiplicative, for fiber sequences of finitely dominated spaces. This is equivalent to proving that the Be…
math.AT2022
On higher scissors congruence
Cary Malkiewich
We solve the higher version of Hilbert's Third Problem for one-dimensional geometries, and in higher dimensions we reduce the problem to a computation in group homology. Our centra…