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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In category theory, string diagrams are a way of representing 2-cells in 2-categories. The idea is to represent structures of dimension d by structures of dimension 2-d, using the Poincaré duality. Thus, an object is represented by a portion of plane, a 1-cell f:Ato B is represented by a vertical segment called a string separating the plane in two (the left part corresponding to A and the right one to B), a 2-cell alpha:fRightarrow g:Ato B is represented by an…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In category theory, string diagrams are a way of representing 2-cells in 2-categories. The idea is to represent structures of dimension d by structures of dimension 2-d, using the Poincaré duality. Thus, an object is represented by a portion of plane, a 1-cell f:Ato B is represented by a vertical segment called a string separating the plane in two (the left part corresponding to A and the right one to B), a 2-cell alpha:fRightarrow g:Ato B is represented by an intersection of strings (the strings corresponding to f above the link, the strings corresponding to g below the link).