New PDF release: Lectures on Infinitary Model Theory (Lecture Notes in Logic)

By David Marker

ISBN-10: 1107181933

ISBN-13: 9781107181939

Infinitary common sense, the common sense of languages with infinitely lengthy conjunctions, performs a major function in version thought, recursion conception and descriptive set concept. This e-book is the 1st sleek creation to the topic in 40 years, and should carry scholars and researchers in all components of mathematical common sense as much as the brink of recent study. The classical themes of back-and-forth platforms, version lifestyles options, indiscernibles and finish extensions are coated prior to extra smooth subject matters are surveyed. Zilber's categoricity theorem for quasiminimal first-class sessions is proved and an program is given to covers of multiplicative teams. Infinitary equipment also are used to review uncountable versions of counterexamples to Vaught's conjecture, and potent features of infinitary version conception are reviewed, together with an advent to Montalbán's contemporary paintings on spectra of Vaught counterexamples. Self-contained introductions to potent descriptive set conception and hyperarithmetic concept are supplied, as is an appendix on admissible version theory.

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Lectures on Infinitary Model Theory (Lecture Notes in Logic) by David Marker


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