Structural approximation Boris Zilber University of Oxford March 5,

Source URL: people.maths.ox.ac.uk

• Mathematics
• Model theory
• Abstraction
• Structure
• General topology
• Type
• Topological space
• Constructible universe
• Filter
• Ring
• Ultraproduct
• Metric space

Model theory of finite and pseudofinite groups Dugald Macpherson∗, School of Mathematics, University of Leeds, Leeds LS2 9JT, UK,

Source URL: www1.maths.leeds.ac.uk

• Mathematics
• Algebra
• Group theory
• Model theory
• Finite groups
• Stable group
• NIP
• Ultraproduct
• Stable theory
• Presentation of a group
• Representation theory
• Ree group

Generalized Ultraproduct and Kirman-Sondermann Correspondence for Vote Abstention ? Geghard Bedrosian1 , Alessandra Palmigiano2,3 , and Zhiguang Zhao2 1

Source URL: www.appliedlogictudelft.nl

Definability for Downward and Vertical XPath on Data Trees Sergio Abriola1 , Mar´ıa Emilia Descotte1 , and Santiago Figueira1,2 1 University of Buenos Aires, Argentina

Source URL: www.glyc.dc.uba.ar

• Metalogic
• Ultraproduct
• Sheaf
• First-order logic
• Model theory
• Mathematical logic
• Logic

RUDIN-KEISLER POSETS OF COMPLETE BOOLEAN ALGEBRAS PETER JIPSEN, ALEXANDER PINUS, HENRY ROSE Abstract. The Rudin-Keisler ordering of ultrafilters is extended to complete Boolean algebras and characterised in terms of elem

Source URL: www1.chapman.edu

• Model theory
• Boolean algebra
• Order theory
• Non-standard analysis
• Universal algebra
• Ultrafilter
• Symbol
• Structure
• Ultraproduct
• Mathematics
• Mathematical logic
• Logic

Introduction Sometimes it happens in mathematics that, investigating some branch, some area of mathematical objects, we are forced to introduce new kind of objects which were not originally presumed to exist. There is a

Source URL: www.ipm.ac.ir

• Logic
• Model theory
• Infinity
• Real closed field
• Ultraproduct
• Zermelo–Fraenkel set theory
• Internal set theory
• Set theory
• Foundations of mathematics
• Mathematics
• Non-standard analysis
• Mathematical logic

CONTENTS 1. Nonstandard analysis on the real line 1. Introduction to nonstandard real line 2. Development of nonstandard analysis 1

Source URL: www.ipm.ac.ir

• Abstract algebra
• Ultraproduct
• Internal set
• Set theory
• Real number
• Parametrization
• Zermelo–Fraenkel set theory
• Criticism of non-standard analysis
• Non-standard analysis
• Mathematics
• Mathematical logic

Infinitesimal Methods in Mathematical Economics Robert M. Anderson1 Department of Economics and Department of Mathematics University of California at Berkeley

Source URL: eml.berkeley.edu

• Infinity
• Model theory
• Mathematical analysis
• Real closed field
• Ultraproduct
• Peter A. Loeb
• Infinitesimal
• Robert M. Anderson
• Gérard Debreu
• Mathematics
• Non-standard analysis
• Abstract algebra

arXiv:0906.2364v1 [math.AG] 12 Jun[removed]RATIONALLY CONNECTED VARIETIES OVER THE MAXIMALLY UNRAMIFIED EXTENSION OF P-ADIC FIELDS BRADLEY DUESLER AND AMANDA KNECHT

Source URL: arxiv.org

• Field theory
• Scheme theory
• Model theory
• General topology
• Zariski topology
• Field
• Ultraproduct
• Quasi-algebraically closed field
• Hilbert scheme
• Abstract algebra
• Algebraic geometry
• Algebra

Theory and Applications of Categories, Vol. 28, No. 13, 2013, pp. 332–370. CODENSITY AND THE ULTRAFILTER MONAD TOM LEINSTER Abstract. Even a functor without an adjoint induces a monad, namely, its codensity monad; thi

Source URL: www.emis.de

• Order theory
• Non-standard analysis
• Adjoint functors
• Boolean algebra
• Ultrafilter
• Stone–Čech compactification
• Filter
• Monad
• Ultraproduct
• Topology
• Mathematics
• General topology