Rectilinear approximation and volume estimates for hereditary bodies via [0,1]-decorated containers
英文摘要：
We use the hypergraph container theory of Balogh--Morris--Samotij and Saxton--Thomason to obtain general rectilinear approximations and volume estimates for sequences of bodies closed under certain families of projections. We give a number of applications of our results, including a multicolour generalisation of a theorem of Hatami, Janson and Szegedy on the entropy of graph limits. Finally, we raise a number of questions on geometric and analytic approaches to containers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
