Stable Dom Indpnce Al Clsed Val Fld

By: Deirdre Haskell, Ehud Hrushovski, Dugald Macpherson

Write A Review

Hardcover | 10 December 2007

At a Glance

Hardcover
196 Pages

Dimensions(cm)
22.86 x 15.24 x 1.42

Hardcover

RRP $212.95

$206.75

or 4 interest-free payments of $51.69 with

or

Aims to ship in 7 to 10 business days

When will this arrive by?
Enter delivery postcode to estimate

This book addresses a gap in the model-theoretic understanding of valued fields that has, until now, 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

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.

More in Mathematical Logic

Modelling and Control of Dynamic Spatially Distributed Systems

Pharmaceutical Processes

Paperback

RRP $311.95

$276.75

11%
OFF

Blockchain and Digital Twin Applications in Smart Agriculture - Amit Kumar Tyagi

$40.75

18%
OFF

Sum Stories Equations and Their Origins : Equations and Their Origins - Robin Wilson

$197.25

10%
OFF

Alcuin's Recreational Mathematics : River Crossings and other Timeless Puzzles - Marcel Danesi

$36.75

22%
OFF

Polygraphs

From Rewriting to Higher Categories

Paperback

RRP $173.95

$168.75

Proof Complexity Generators : London Mathematical Society Lecture Note Series - Jan Krajicek

$161.40

17%
OFF

Quantum Technology Applications, Impact, and Future Challenges

Paperback

RRP $158.00

$131.40

17%
OFF

AI and Blockchain in Smart Grids

Fundamentals, Methods, and Applications

Hardcover

RRP $399.00

$331.75

17%
OFF

Fuzzy Mathematics : A Fundamental Introduction - Apostolos Syropoulos

$35.25

22%
OFF

Preface	p. ix
Introduction	p. 1
Stable Domination
Some background on stability theory	p. 13
Saturation, the universal domain, imaginaries	p. 15
Invariant types	p. 17
Conditions equivalent to stability	p. 18
Independence and forking	p. 20
Totally transcendental theories and Morley rank	p. 23
Prime models	p. 23
Indiscernibles, Morley sequences	p. 24
Stably embedded sets	p. 25
Definition and basic properties of St[subscript C]	p. 27
Invariant types and change of base	p. 41
A combinatorial lemma	p. 53
Strong codes for germs	p. 59
Independence in ACVF
Some background on algebraically closed valued fields	p. 69
Background on valued fields	p. 69
Some model theory of valued fields	p. 71
Basics of ACVF	p. 72
Imaginaries, and the ACVF sorts	p. 73
The sorts internal to the residue field	p. 77
Unary sets, 1-torsors, and generic 1-types	p. 78
One-types orthogonal to [Gamma]	p. 83
Generic bases of lattices	p. 85
Sequential independence	p. 87
Growth of the stable part	p. 99
Types orthogonal to [Gamma]	p. 103
Opacity and prime resolutions	p. 115
Maximally complete fields and domination	p. 123
Invariant types	p. 137
Examples of sequential independence	p. 137
Invariant types, dividing and sequential independence	p. 143
A maximum modulus principle	p. 151
Canonical bases and independence given by modules	p. 161
Other Henselian fields	p. 171
References	p. 177
Index	p. 181
Table of Contents provided by Ingram. All Rights Reserved.

Stable Dom Indpnce Al Clsed Val Fld

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematical Logic

Modelling and Control of Dynamic Spatially Distributed Systems

Pharmaceutical Processes

Blockchain and Digital Twin Applications in Smart Agriculture

The Language of Mathematics

The Stories behind the Symbols

Sum Stories Equations and Their Origins

Equations and Their Origins

The Univalence Principle

Alcuin's Recreational Mathematics

River Crossings and other Timeless Puzzles

Partial Truths

How Fractions Distort Our Thinking

Polygraphs

From Rewriting to Higher Categories

Proof Complexity Generators

London Mathematical Society Lecture Note Series

Deep Learning and Blockchain Technology for Smart and Sustainable Cities

Advances in Computational Collective Intelligence

Advancements in Cybersecurity

Next-Generation Systems and Applications

Information-Oriented Logic

Implications of Natural-Language Sentences and All Logical Paradoxes Solved

Set Theory

An Introduction to Axiomatic Reasoning

REFLECTIONS

THE MAGIC, MUSIC & MATH OF RAYMOND SMULLYAN

MAGIC GARDEN OF GEORGE B AND OTHER LOGIC PUZZLES, THE

Quantum Technology Applications, Impact, and Future Challenges

Quantum Technology Applications, Impact, and Future Challenges

AI and Blockchain in Smart Grids

Fundamentals, Methods, and Applications

Fuzzy Mathematics

A Fundamental Introduction

Weighted Morrey Spaces

Calderon-Zygmund Theory and Boundary Problems

Institution-independent Model Theory

Studies in Universal Logic

BEGINNER'S FURTHER GUIDE TO MATHEMATICAL LOGIC, A

The Times Mind Games

Number And Logic Puzzles

Mathematical Intelligence

What We Have that Machines Don't

This product is categorised by