第一- order limits,分析视角
First-order limits, an analytical perspective
摘要:
在本文中,我们提出了一种新的方法,图(和结构)限制的基础上模型论和分析。Stone和Gelfand对偶的作用被突出地展示出来,并导致了一个普遍的理论,我们相信这是自然出现的。这种方法涵盖了结构趋同的所有具体例子,并将整体置于新的背景下。作为一个应用程序,它导致新的中间结构收敛的例子和一个“大猜想”处理稀疏图。我们概述了最近的事态发展。
英文摘要:
In this paper we present a novel approach to graph (and structural) limits based on model theory and analysis. The role of Stone and Gelfand dualities is displayed prominently and leads to a general theory, which we believe is naturally emerging. This approach covers all the particular examples of structural convergence and it put the whole in new context. As an application, it leads to new intermediate examples of structural convergence and to a "grand conjecture" dealing with sparse graphs. We survey the recent developments.
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