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@article{2276318, author = {Lieberman, Michael and Rosický, Jiří and Zambrano, Pedro}, article_number = {3-4}, doi = {http://dx.doi.org/10.1007/s00153-022-00852-4}, keywords = {Abstract model theory; Metric abstract elementary classes; Metric structures; Quantales; Quantale-valued metrics; Tameness}, language = {eng}, issn = {0933-5846}, journal = {Archive for Mathematical Logic}, title = {Tameness in generalized metric structures}, url = {https://doi.org/10.1007/s00153-022-00852-4}, volume = {62}, year = {2023} }
TY - JOUR ID - 2276318 AU - Lieberman, Michael - Rosický, Jiří - Zambrano, Pedro PY - 2023 TI - Tameness in generalized metric structures JF - Archive for Mathematical Logic VL - 62 IS - 3-4 SP - 531-558 EP - 531-558 PB - Springer SN - 09335846 KW - Abstract model theory KW - Metric abstract elementary classes KW - Metric structures KW - Quantales KW - Quantale-valued metrics KW - Tameness UR - https://doi.org/10.1007/s00153-022-00852-4 N2 - We broaden the framework of metric abstract elementary classes (mAECs) in several essential ways, chiefly by allowing the metric to take values in a well-behaved quantale. As a proof of concept we show that the result of Boney and Zambrano (Around the set-theoretical consistency of d-tameness of metric abstract elementary classes, arXiv:1508.05529, 2015) on (metric) tameness under a large cardinal assumption holds in this more general context. We briefly consider a further generalization to partial metric spaces, and hint at connections to classes of fuzzy structures, and structures on sheaves. ER -
LIEBERMAN, Michael, Jiří ROSICKÝ and Pedro ZAMBRANO. Tameness in generalized metric structures. \textit{Archive for Mathematical Logic}. Springer, 2023, vol.~62, 3-4, p.~531-558. ISSN~0933-5846. Available from: https://dx.doi.org/10.1007/s00153-022-00852-4.
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