arXiv:1902.10212 Abstract | arXiv Analytics

arXiv:1902.10212 [math.LO]Abstract References Reviews Resources

Tameness, powerful images, and large cardinals

Published 2019-02-26Version 1

We provide comprehensive, level-by-level characterizations of large cardinals, in the range from weakly compact to strongly compact, by closure properties of powerful images of accessible functors. In the process, we show that these properties are also equivalent to various forms of tameness for abstract elementary classes. This systematizes and extends results of [BU17], [BTR16], [Lie18], and [LR16].

Categories: math.LO, math.CT

Keywords: large cardinals, powerful images, abstract elementary classes, closure properties, level-by-level characterizations

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