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arXiv · 1511.05326

Generic Large Cardinals and Systems of Filters

Giorgio Audrito·Silvia Steila
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Abstract

We introduce the notion of $\mathcal{C}$-system of filters, generalizing the standard definitions of both extenders and towers of normal ideals. This provides a framework to develop the theory of extenders and towers in a more general and concise way. In this framework we investigate the topic of definability of generic large cardinals properties.

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Giorgio Audrito, Silvia Steila. 2017-04-05. Generic Large Cardinals and Systems of Filters. https://arxiv.org/abs/1511.05326

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