Dehn-Sydler-Jessen Via Homological Algebra

Fuente: arXiv
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1. Verfasser: Nanavaty, Anubhav
Format: Preprint
Veröffentlicht: 2025
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author Nanavaty, Anubhav
author_facet Nanavaty, Anubhav
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03380
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dehn-Sydler-Jessen Via Homological Algebra
Nanavaty, Anubhav
Algebraic Topology
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.
title Dehn-Sydler-Jessen Via Homological Algebra
topic Algebraic Topology
url https://arxiv.org/abs/2502.03380