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Session 20. Knot Theory
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Links with binary relations |
Maciej Niebrzydowski, University of Louisiana at Lafayette, USA, University of Gdańsk, Poland
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We define homology of binary relations, and we merge it with quandle
homology, to obtain homology for partial quandles with binary
relations. It can be used for analyzing link diagrams with binary
relations on the set of components with the condition that a
component \(C_2\) can move over a component \(C_1\) if \(C_1\ R\ C_2\),
where \(R\) is a relation. We also discuss some other conditional
theories.
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