Analysis and Logic,9780521648615

Analysis and Logic

by
ISBN13: 9780521648615
ISBN10: 0521648610
Format: Paperback
Pub. Date: 2003-01-13
Publisher(s): Cambridge University Press
List Price: $70.00

Buy New

Usually Ships in 8 - 10 Business Days.
$69.93
Add to Cart

Rent Textbook

Select for Price
Add to Cart
There was a problem. Please try again later.

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

Buy from our Marketplace starting at $33.00

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. Considerable effort has been made by the authors to integrate their articles and make them accessible to mathematicians new to the area.

Table of Contents

Preface ix
Introduction xi
Ultraproducts in Analysis
1(114)
C. Ward Henson
Jose Iovino
Introduction
3(7)
Normed Space Structures
10(3)
Signatures
13(4)
Ultrapowers of Normed Space Structures
17(4)
Positive Bounded Formulas
21(10)
Basic Model Theory I
31(3)
Quantifier-Free Formulas
34(4)
Ultraproducts of Normed Space Structures
38(5)
Basic Model Theory II
43(12)
Isomorphic Ultrapowers
55(17)
Alternative Formulations of the Theory
72(3)
Homogeneous Structures
75(4)
More Model Theory
79(17)
Types
96(19)
References
107(4)
Index of Notation
111(1)
Index
112(3)
Actions of Polish Groups and Classification Problems
115(74)
Alexander S. Kechris
Introduction
117(3)
The General Glimm-Effros Dichotomy
120(3)
Actions of Polish Groups
123(3)
Actions of Countable Groups
126(5)
Actions of Locally Compact Groups
131(2)
Actions of the Infinite Symmetric Group
133(4)
Turbulence I: Overview
137(6)
Turbulence II: Basic Facts
143(3)
Turbulence III: Induced Actions
146(4)
Turbulence IV: Some Examples
150(2)
Turbulence V: Calmness
152(5)
Turbulence VI: The First Main Theorem
157(6)
Turbulence VII: The Second Main Theorem
163(26)
References
183(3)
Index
186(3)
On Subspaces, Asymptotic Structure, and Distortion of Banach Spaces; Connections with Logic
189
Edward Odell
Introduction
191
Background material: The 60's and 70's
194
The unconditional basic sequence problem and connections with distortion
208
Gowers' dichotomy: A block Ramsey Theorem
217
Distortion
223
Asymptotic structure
233
Ordinal Indices
244
The homogeneous Banach space problem
252
Concluding remarks
254
References
256
Index
265

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.