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- Title
Ultraproducts and Related Constructions.
- Authors
Sági, Gábor
- Abstract
In this work, we survey some research directions in which the ultraproduct construction and methods based on ultrafilters play significant roles. Rather different areas of mathematics have been considered: topics we are reviewing here include some aspects of the model theory of first-order and second-order existential logics, finite Ramsey theory and general topology. Special emphasis has been made for producing a uniform treatment and for highlighting interconnections between these different subjects.
- Subjects
RAMSEY theory; MODEL theory; MATHEMATICS; TOPOLOGY; LOGIC
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 1, p70
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11010070