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