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arXiv · 1909.12613

Polish G-spaces, the generalized model theory and complexity

A. Ivanov·B. Majcher-Iwanow
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Abstract

Given Polish space ${\bf Y}$ and continuous language $L$ we study the corresponding logic $\mathsf{Iso}({\bf Y})$-space ${\bf Y}_L$. We build a framework of generalized model theory towards analysis of Borel/algorithmic complexity of subsets of ${\bf Y}^k_L \times (\mathsf{Iso} ({\bf Y})^l$. The paper substantially develops (and corrects) Section 5 of arxiv:1304.5135. The second version is extended by Remark 3.4.

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BibTeXRIS

A. Ivanov, B. Majcher-Iwanow. 2019-09-27. Polish G-spaces, the generalized model theory and complexity. https://arxiv.org/abs/1909.12613

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