Groups definable in two orthogonal sortsOn 26.10.2020 by Samutaur
This work can be thought of as a contribution to the model theory of group extensions. We study the groups G which are interpretable in the disjoint union of two structures seen as a two-sorted structure. We show that if one of the two structures is superstable of finite Lascar rank and the Lascar rank is definable, then G is an extension of a group internal to the possibly unstable sort by a definable normal subgroup internal to the stable sort. In the final part of the paper we show that if the unstable sort is an o-minimal expansion of the reals, then G has a natural Lie structure and the extension is a topological cover.
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Mamino, Discrete subgroups of locally definable groupsSelecta Mathematica 19— Berarducci and M. Mamino, On the homotopy type of definable groups in an o-minimal structureJournal of the London Mathematical Society 83— Berarducci, Y. Peterzil and A. Pillay, Group covers, o-minimality, and categoricityConfluentes Mathematici 02— Conversano and M. Mamino, Private communication. Edmundo and P. Eleftheriou, The universal covering homomorphism in o-minimal expansions of groupsMathematical Logic Quarterly 53— Eleftheriou and Y.
Peterzil, Definable quotients of locally definable groupsSelecta Mathematica 18— Fornasiero, Groups and rings definable in d-minimal structurespreprint, arXivHelp Advanced Search. We gratefully acknowledge support from the Simons Foundation and member institutions. LO Help Advanced Search. Logic Authors and titles for math. Authors: Milos S. KurilicBoris Sobot. Journal-ref: Filomat 30,13 Subjects: Logic math.
Title: Relations between ex falso, tertium non datur, and double negation elimination. LO ; Logic in Computer Science cs. Authors: Benjamin Druart IF. LO ; Group Theory math. Title: Representations of bounded distributive lattices as the continuous sections of Sheaves based on the Priestly and Zarski topologies. Authors: Tarek Sayed Ahmed. Title: Homotopy limits in type theory. Comments: 33 pages; v3: theorem numbering changed since v2 to match journal version. Journal-ref: Math.
LO ; Category Theory math. Title: Decomposing Borel functions using the Shore-Slaman join theorem. Authors: Takayuki Kihara. Journal-ref: Fund. LO ; General Topology math. Title: The superamalgamation property for reducts of Heyting polyadic algebras with and without equality. Title: Characterizing amalgmation bases for relation, cylindric and polyadic algebras.
Comments: arXiv admin note: text overlap with arXiv Title: Neat embeddings as adjoint situations. Comments: arXiv admin note: substantial text overlap with arXiv Title: Cylindric polyadic algebras have the superamalgamation.
Title: Interpolation in many valued predicate logics using algebraic logic. Comments: 49 pages.EXIT from Cmp 1888. Loss with 1 points. Total Profit made 5. Low risk taker book 1. Total profit made 1. Almost near to 1st Target hit. Total profit made 2. Total Profit of 4. EXIT with Micro Profit. Total profit made 15. Low risk taker book 2.
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Groups definable in two orthogonal sorts
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