Duality and tangles of set separations
| Autor: | Diestel, Reinhard, Elbracht, Christian, Erde, Joshua, Teegen, Maximilian |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | Applications of tangles of connectivity systems suggest a duality between these, in which for two sets $X$ and $Y\!$ the elements $x$ of $X$ map to subsets $Y_x$ of $Y\!$, and the elements $y$ of $Y\!$ map to subsets $X_y$ of $X$, so that $x\in X_y$ if and only if $y\in Y_x$ for all $x\in X$ and $y\in Y\!$. We explore this duality, and relate the tangles arising from the dual systems to each other. Comment: This is the journal version of this paper. 29 pages |
| Databáze: | arXiv |
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