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Dehn-Sydler-Jessen Via Homological Algebra

Published 5 Feb 2025 in math.AT | (2502.03380v1)

Abstract: We provide an expository introduction to Euclidean Scissors Congruence, the study of polytopes in Euclidean space up to `cut and paste' relations. We first re-frame questions in scissors congruence as those in group homology. We then use this perspective to review the proof of the Dehn-Sydler-Jessen Theorem as found in the works of Dupont and Sah.

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