Title
On colimits and elementary embeddings.
Abstract
We give a sharper version of a theorem of Rosicky, Trnkova and Adamek [13], and a new proof of a theorem of Rosicky [12], both about colimits in categories of structures. Unlike the original proofs, which use category-theoretic methods, we use set-theoretic arguments involving elementary embeddings given by large cardinals such as a-strongly compact and C-(n)-extendible cardinals.
Year
DOI
Venue
2013
10.2178/jsl.7802120
JOURNAL OF SYMBOLIC LOGIC
Keywords
DocType
Volume
Colimits,elementary embeddings,Vopenka's Principle,strongly compact cardinals,accessible categories
Journal
78
Issue
ISSN
Citations 
2
0022-4812
1
PageRank 
References 
Authors
0.40
2
2
Name
Order
Citations
PageRank
Joan Bagaria16313.15
Andrew D. Brooke-Taylor2112.29