Ideals and Generic Elementary Embeddings

Matthew Foreman ()
Additional contact information
Matthew Foreman: University of California at Irvine, Department of Mathematics

Chapter 13 in Handbook of Set Theory, 2010, pp 885-1147 from Springer

Abstract: Abstract This chapter covers the technique of generic elementary embeddings. These embeddings are closely analogous to conventional large cardinal embeddings, the difference being that they are definable in forcing extensions of V rather than in V itself. The advantage of allowing the embeddings to be generic is that the critical points of the embeddings can be quite small, even as small as ω 1. For this reason they have many consequences for accessible cardinals, settling many classical questions of set theory.

Keywords: Regular Cardinal; Large Cardinal; Measurable Cardinal; Elementary Embedding; Maximal Antichain (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-5764-9_14

Ordering information: This item can be ordered from
http://www.springer.com/9781402057649

DOI: 10.1007/978-1-4020-5764-9_14

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().