Stable Domination and Independence in Algebraically Closed Valued Fields

By: Deirdre Haskell, Ehud Hrushovski, Dugald MacPherson

Write A Review

Paperback | 30 June 2011

At a Glance

Paperback
196 Pages

Dimensions(cm)
22.86 x 15.24 x 1.14

Paperback

RRP $75.95

$71.75

or 4 interest-free payments of $17.94 with

Ships in 5 to 7 business days

This 2008 book addresses a gap in the model-theoretic understanding of valued fields that had limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part I of the book is a study of stably dominated types. These form a subset of the type space of a theory that behaves in many ways like the space of types in a stable theory. This part begins with an introduction to the key ideas of stability theory for stably dominated types. Part II continues with an outline of some classical results in the model theory of valued fields and explores the application of stable domination to algebraically closed valued fields. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part.

Industry Reviews

Review of the hardback: '... comprehensive and stimulating ...' EMS Newsletter

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Combinatorics & Graph Theory Algebra

Introduction
Stable Domination
Some background on stability theory
Definition and basic properties of Stc
Invariant types and change of base
A combinatorial lemma
Strong codes for germs
Independence in ACVF
Some background on algebraically closed valued fields
Sequential independence
Growth of the stable part
Types orthogonal to
Opacity and prime resolutions
Maximally complete fields and domination
Invariant types
A maximum modulus principle
Canonical bases and independence given by modules
Other Henselian fields
Table of Contents provided by Publisher. All Rights Reserved.

Stable Domination and Independence in Algebraically Closed Valued Fields

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematical Logic

The Times Fiendish Su Doku Book 19

200 challenging Su Doku puzzles

The Times Ultimate Killer Su Doku Book 18

200 of the deadliest Su Doku puzzles

Handbook of Automated Reasoning

Current Trends in Automated Theorem Proving

Current Trends in Automated Reasoning

The Language of Mathematics

The Stories behind the Symbols

Unequal

The Maths of When Things Do and Don't Add Up

The Times Samurai Su Doku 14

100 extreme puzzles for the fearless Su Doku warrior

Metaverse and Blockchain

Real-World Applications

Covert Communication in the Meta Era

Blending Steganography with Augmented Reality and Artificial Intelligence

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume I

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Volume I

Parabolic Problems

60 Years of Mathematical Puzzles in Parabola

Introduction to Modern Cryptography

Revised Third Edition

Artificial Conscience for the Quantum Physicist

Conscious Machines Tackling Quantum Mysteries

Advanced Techniques and Applications of Cybersecurity and Forensics

Emerging Technologies

AI and Blockchain in Smart Grids

Fundamentals, Methods, and Applications

Attack-and-Defense Games for Control Systems

Analysis and Synthesis

Blockchain and Digital Twin Applications in Smart Agriculture

Security, Privacy, and Trust in WBANs and E-Healthcare

Introduction to Mathematical Logic

Discrete Mathematics and Its Applications

Logic For Dummies

For Dummies

The Language of Mathematics

The Stories behind the Symbols

Why Don't Rabbits Rule The World?

Mathematical answers to life's key questions

This product is categorised by