3 results
Pawel Sobocinski ; Tobias Heindel.
Colimits that satisfy the Van Kampen condition have interesting exactness properties. We show that the elementary presentation of the Van Kampen condition is actually a characterisation of a universal property in the associated bicategory of spans. The main theorem states that Van Kampen cocones are […]
Published on April 1, 2011
Roberto Bruni ; Hernan Melgratti ; Ugo Montanari ; Pawel Sobocinski.
A quite flourishing research thread in the recent literature on component-based systems is concerned with the algebraic properties of different classes of connectors. In a recent paper, an algebra of stateless connectors was presented that consists of five kinds of basic connectors, namely symmetry, […]
Published on September 17, 2013
Elena Di Lavore ; Paweł Sobociński.
We introduce monoidal width as a measure of complexity for morphisms in monoidal categories. Inspired by well-known structural width measures for graphs, like tree width and rank width, monoidal width is based on a notion of syntactic decomposition: a monoidal decomposition of a morphism is an […]
Published on September 4, 2023