The smash sum is the unique sum of open sets satisfying a natural list of axioms
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917649144872960 |
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| author | Cairns, Hannah |
| author_facet | Cairns, Hannah |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01280 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The smash sum is the unique sum of open sets satisfying a natural list of axioms Cairns, Hannah General Topology Probability 42B37 35R35 82C24 60K35 51P05 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. |
| title | The smash sum is the unique sum of open sets satisfying a natural list of axioms |
| topic | General Topology Probability 42B37 35R35 82C24 60K35 51P05 |
| url | https://arxiv.org/abs/2307.01280 |