Logic and algebra / edited by Yi Zhang ; with a preface by Oleg Belegradek.

Format:

Book

Contributor:

Zhang, Yi, 1964-

Belegradek, O. V.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 302.

Contemporary mathematics, 0271-4132 ; 302

Language:

English

Subjects (All):

Model theory.

Algebra.

Set theory.

Physical Description:

viii, 285 pages : illustrations ; 25 cm.

Place of Publication:

Providence, RI : American Mathematical Society, 2002.

Contents:

Mad families and iteration theory / Jorg Brendle 1

Nearly adequate sets / Andreas Blass 33

How tall is the automorphism tower of a group? / Joel David Hamkins 49

Reflection principles for the continuum / Jonathan Stavi, Jouko Vaananen 59

A theory of a generic function with derivations / Boris Zilber 85

Poly-regular ordered Abelian groups / Oleg Belegradek 101

On the logical strength of the automorphism groups of free nilpotent groups / Vladimir Tolstykh 113

Classification of the simple groups of finite Morley rank / Tuna Altinel 121

Homogeneous model theory: existence and categoricity / Olivier Lessmann 149

Classification theory for abstract elementary classes / Rami Grossberg 165

Forking and multiplicity in first order theories / John T. Baldwin 205

Groups acting on geometries / Tapani Hyttinen 221

Relative categoricity in linear orderings / Wilfrid Hodges 235

Nonstandard analysis and an application to the symmetric group on natural numbers / Mauro Di Nasso, Yi Zhang 249

On the ordering of the nonstandard real line / Mauro Di Nasso, Marco Forti 259

Order-types of models of Peano arithmetic / Andrey Bovykin, Richard Kaye 275.

Notes:

Includes bibliographical references.

ISBN:

082182984X

OCLC:

50164832