Geodesic
Local-global convergence, an analytic and structural approach
Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 1, pp. 97-129.

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Based on methods of structural convergence we provide a unifying view of local-global convergence, fitting to model theory and analysis. The general approach outlined here provides a possibility to extend the theory of local-global convergence to graphs with unbounded degrees. As an application, we extend previous results on continuous clustering of local convergent sequences and prove the existence of modeling quasi-limits for local-global convergent sequences of nowhere dense graphs.
DOI : 10.14712/1213-7243.2015.280
Classification : 03C13, 03C98, 05C99
Keywords: structural limit; Borel structure; modeling; local-global convergence 
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Nešetřil, Jaroslav; Ossona de Mendez, Patrice. Local-global convergence, an analytic and structural approach. Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 1, pp. 97-129. doi : 10.14712/1213-7243.2015.280. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.280/

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