欧几里得无点几何中的测度(一篇探索性论文)

IF 0.6 Q2 LOGIC Logic and Logical Philosophy Pub Date : 2022-11-18 DOI:10.12775/llp.2022.031

G. Barbieri, Giangiacomo Gerla

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摘要

在欧几里得无点几何中，我们面临一个合适的测度理论问题，并给出了一些可能的解决方案。所提出的措施，这是积极的和不变的运动，是基于无穷小质量的概念，即质量的相关支持形成一个越来越细的分区序列。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Measures in Euclidean Point-Free Geometry (an exploratory paper)

We face with the question of a suitable measure theory in Euclidean point-free geometry and we sketch out some possible solutions. The proposed measures, which are positive and invariant with respect to movements, are based on the notion of infinitesimal masses, i.e. masses whose associated supports form a sequence of finer and finer partitions.

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