An Introduction To Continuous Model Theory
arXiv:2303.03969
Abstract
We present an introduction to modern continuous model theory with an emphasis on its interactions with topics covered in this volume such as -algebras and von Neumann algebras. The role of ultraproducts is highlighted and expositions of definable sets, imaginaries, quantifier elimination and separable categoricity are included.
53 pages; first draft; comments welcome; to appear in the volume "Model theory of operator algebras" as part of DeGruyter's Logic and its Application Series