Generic Large Cardinals and Systems of Filters

Audrito, Giorgio; Steila, Silvia (2017). Generic Large Cardinals and Systems of Filters. The journal of symbolic logic, 82(03), pp. 860-892. Cambridge University Press 10.1017/jsl.2017.27

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We introduce the notion of 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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Computer Science (INF) > Logic and Theory Group (LTG)
08 Faculty of Science > Institute of Computer Science (INF)

UniBE Contributor:

Steila, Silvia

Subjects:

000 Computer science, knowledge & systems
500 Science > 510 Mathematics

ISSN:

0022-4812

Publisher:

Cambridge University Press

Language:

English

Submitter:

Lukas Jaun

Date Deposited:

20 Apr 2018 09:10

Last Modified:

20 Apr 2018 09:10

Publisher DOI:

10.1017/jsl.2017.27

BORIS DOI:

10.7892/boris.112772

URI:

https://boris.unibe.ch/id/eprint/112772

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