On groups and fields definable in o-minimal structures
From MaRDI portal
Publication:1113892
DOI10.1016/0022-4049(88)90125-9zbMath0662.03025OpenAlexW1980560577MaRDI QIDQ1113892
Publication date: 1988
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(88)90125-9
Related Items
Constructing a group-interval in \(O\)-minimal structures, Transfer methods for o-minimal topology, One-dimensional groups definable in o-minimal structures, Euler characteristic in semialgebraic and other o-minimal groups, One Lie group to define them all, Splitting definably compact groups in o-minimal structures, Definable groups in dense pairs of geometric structures, A note on semialgebraically proper maps, Proof of semialgebraic covering mapping cylinder conjecture with semialgebraic covering homotopy theorem, ON NON-COMPACT p-ADIC DEFINABLE GROUPS, Cartan subgroups of groups definable in o-minimal structures, Discrete subgroups of locally definable groups, Topological groups, \(\mu\)-types and their stabilizers, Definable one dimensional structures in o-minimal theories, Corps et chirurgie, Interpretable fields in various valued fields, Invariance of o-minimal cohomology with definably compact supports, On minimal flows and definable amenability in some distal NIP theories, Groups definable in two orthogonal sorts, Sets, groups, and fields definable in vector spaces with a bilinear form, Model theory: combinatorics, groups, valued fields and neostability. Abstracts from the workshop held January 8--14, 2023, A structure theorem for semibounded sets in the reals, Division rings with ranks, Topologizing interpretable groups in \(p\)-adically closed fields, On differential Galois groups of strongly normal extensions, A definability criterion for connected Lie groups, Orbifold Euler characteristics of non‐orbifold groupoids, Pregeometry over locally o‐minimal structures and dimension, Invariance results for definable extensions of groups, Dimensional quasi-Frobenius groups, Definable version of Wedderburn-Artin theorem in o-minimal structures, Definably compact groups definable in real closed fields, Multiplicative structures and random walks in o-minimal groups, Structure theorems in tame expansions of o-minimal structures by a dense set, An application of model theory to real and p-adic algebraic groups, SOLVABLE LIE GROUPS DEFINABLE IN O-MINIMAL THEORIES, Solvable groups definable in o-minimal structures., Connected components of definable groups and o-minimality. I, One-basedness and groups of the form \(G/G ^{00}\), One-dimensional groups over an o-minimal structure, Groups of dimension two and three over o-minimal structures, Unnamed Item, Nilpotent groups, o-minimal Euler characteristic, and linear algebraic groups, Pillay's conjecture for groups definable in weakly o‐minimal non‐valuational structures, Some Model Theory of Compact Lie Groups, Book review of: T. Tao, Hilbert's fifth problem and related topics, A note on superstable groups, Existentially closed ordered difference fields and rings, On Pillay's conjecture in the general case, Linearity of groups definable in o-minimal structures, TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY, DEFINABLY COMPACT ABELIAN GROUPS, On central extensions and definably compact groups in o-minimal structures, Equivariant differential topology in an o-minimal expansion of the field of real numbers, Definable topological dynamics and real Lie groups, Topological properties of sets definable in weakly o-minimal structures, A descending chain condition for groups definable in o-minimal structures, Locally definable groups in o-minimal structures, A note on groups definable in the \(p\)-adic field, Groups definable in linear o-minimal structures: the non-compact case, A Vietoris-Smale mapping theorem for the homotopy of hyperdefinable sets, XI Latin American Symposium on Mathematical Logic, Groups definable in ordered vector spaces over ordered division rings, O-minimal spectra, infinitesimal subgroups and cohomology, Linear groups definable in o-minimal structures, A semi-linear group which is not affine, 1999 European Summer Meeting of the Association for Symbolic Logic, Strongly minimal groups in o-minimal structures, A REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURES, A REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURES, VARIATIONS SUR UN THÈME DE ALDAMA ET SHELAH, Zilber's conjecture for some o-minimal structures over the reals, On the Euler characteristic of definable groups, Linear o-minimal structures, On fields definable in \(Q_ p\), Returning to semi-bounded sets, Cartan subgroups and regular points of o‐minimal groups, Locally injective maps in o-minimal structures without poles are surjective, Real Lie groups and o-minimality, Cohomology of groups in o-minimal structures: acyclicity of the infinitesimal subgroup, Valued fields, metastable groups, Compact domination for groups definable in linear o-minimal structures, Non-solvable groups of Morley rank 3, Definable group extensions in semi-bounded o-minimal structures, O-minimal flows on nilmanifolds, Definability in the group of infinitesimals of a compact Lie group, Non-standard lattices and o-minimal groups, An o-minimal characterization of special subvarieties, ON THE MODEL THEORY OF THE LOGARITHMIC FUNCTION IN COMPACT LIE GROUPS, Intersection theory for o-minimal manifolds, Computing o-minimal topological invariants using differential topology, MAXIMAL COMPACT SUBGROUPS IN THE O-MINIMAL SETTING, 2005 Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '05, Definably simple groups in o-minimal structures, Simple algebraic and semialgebraic groups over real closed fields, Groups, group actions and fields definable in first-order topological structures, Groups definable in local fields and pseudo-finite fields, A theorem on generic intersections in an o-minimal structure, Interpretable groups are definable
Cites Work
- First order topological structures and theories
- Some remarks on definable equivalence relations in O-minimal structures
- Definable Sets in Ordered Structures. I
- Definable Sets in Ordered Structures. II
- Groups of small Morley rank
- On $ω_1$-categorical theories of fields
- On Algebraic Groups of Transformations