Continuous integration logic

Seyed-Mohammad Bagheri; Massoud Pourmahdian

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arXiv · 1910.00191

Continuous integration logic

Seyed-Mohammad Bagheri·Massoud Pourmahdian

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Abstract

We combine continuous and integral logics and found a logical framework for metric measure spaces equipped with a family of continuous relations and operations. We prove the ultraproduct theorem and deduce compactness and other usual results. We also give applications of the compactness theorem in metric measure theory.

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BibTeX RIS

Seyed-Mohammad Bagheri, Massoud Pourmahdian. 2019-10-01. Continuous integration logic. https://arxiv.org/abs/1910.00191

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