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Bibliographic Details
Main Author: Cairns, Hannah
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.01280
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Table of Contents:
  • A sum of open sets is a map taking two bounded open sets $A,B$ and producing a new open set $A \oplus B$. We prove that, up to sets of measure zero, there is only one such sum satisfying a natural list of axioms. It is the scaling limit of the Diaconis-Fulton smash sum.