Del i serien Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Constructible Sets in Real Geometry

Häftad, Engelska, 2011

AvCarlos Andradas,Ludwig Bröcker,Jesus M. Ruiz

1 149 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

This ERGEBNISSE volume deals with the theory of the minimal description of real constructible sets. It gives a comprehensive state-of-the-art report with many results published for the first time in book form. The authors tried to keep the presentation as self-contained a possible. The book contains numerous examples, historical notes and 63 figures.

Produktinformation

Utgivningsdatum2011-12-14
Mått155 x 235 x 16 mm
Vikt435 g
FormatHäftad
SpråkEngelska
SerieErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor270
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642800269

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik

I. A First Look at Semialgebraic Geometry.- 1. Real Closed Fields and Transfer Principles.- 2. What is Semialgebraic Geometry?.- 3. Real Spaces.- 4. Examples.- II. Real Algebra.- 1. The Real Spectrum of a Ring.- 2. Specializations, Zero Sets and Real Ideals.- 3. Real Valuations.- 4. Real Going-Up and Real Going-Down.- 5. Abstract Semialgebraic Functions.- 6. Cylindrical Decomposition.- 7. Real Strict Localization.- Notes.- III. Spaces of Signs.- 1. The Axioms.- 2. Forms.- 3. SAP-Spaces and Fans.- 4. Local Spaces of Signs.- 5. The Space of Signs of a Ring.- 6. Subspaces.- Notes.- IV. Spaces of Orderings.- 1. The Axioms Revisited.- 2. Basic Constructions.- 3. Spaces of Finite Type.- 4. Spaces of Finite Chain Length.- 5. Finite Type = Finite Chain Length.- 6. Local-Global Principles.- 7. Representation Theorem and Invariants.- Notes.- V. The Main Results.- 1. Stability Formulae.- 2. Complexity of Constructible Sets.- 3. Separation.- 4. Real Divisors.- 5. The Artin-Lang Property.- Notes.- VI. Spaces of Signs of Rings.- 1. Fans and Valuations.- 2. Field Extensions: Upper Bounds.- 3. Field Extensions: Lower Bounds.- 4. Algebras.- 5. Algebras Finitely Generated over Fields.- 6. Archimedean Rings.- 7. Coming Back to Geometry.- Notes.- VII. Real Algebra of Excellent Rings.- 1. Regular Homomorphisms.- 2. Excellent Rings.- 3. Extension of Orderings Under Completion.- 4. Curve Selection Lemma.- 5. Dimension, Valuations and Fans.- 6. Closures of Constructible Sets.- 7. Real Going-down for Regular Homomorphisms.- 8. Connected Components of Constructible Sets.- Notes.- VIII. Real Analytic Geometry.- 1. Semianalytic Sets.- 2. Semianalytic Set Germs.- 3. Cylindrical Decomposition of Germs.- 4. Rings of Global Analytic Functions.- 5. Hilbert’s 17th Problem and Real Nullstellensatz.- 6.Minimal Generation of Global Semianalytic Sets.- 7. Topology of Global Semianalytic Sets.- 8. Germs at Compact Sets.- Notes.

Mer från samma serie

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

Viviane Baladi

Häftad, 2019

1 869 kr

Profinite Graphs and Groups

Luis Ribes

Häftad, 2018

849 kr

Brauer–Grothendieck Group

Jean-Louis Colliot-Thélène, Alexei N. Skorobogatov

Inbunden, 2021

1 869 kr

Polyfold and Fredholm Theory

Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder

Inbunden, 2021

3 149 kr

Del 73

Canard Cycles

Peter De Maesschalck, Freddy Dumortier, Robert Roussarie

Inbunden, 2021

1 869 kr

Del 73

Canard Cycles

Peter De Maesschalck, Freddy Dumortier, Robert Roussarie

Häftad, 2022

1 869 kr

Del 60

Upper and Lower Bounds for Stochastic Processes

Michel Talagrand

Inbunden, 2021

2 299 kr

Del 74

Normal Surface Singularities

András Némethi

Inbunden, 2022

799 kr

Simplicial and Dendroidal Homotopy Theory

Gijs Heuts, Ieke Moerdijk

Inbunden, 2022

439 kr

Field Arithmetic

Michael D. Fried, Moshe Jarden

Inbunden, 2023

3 299 kr

Du kanske också är intresserad av

Ich liebe das Klischee

Ludwig Bröcker

Häftad, 2025

179 kr

Basic Theory of Power Series

Jesús M. Ruiz

Häftad, 1993

1 149 kr

Nyhet

Del 11

Medusa

Lars Kepler

Inbunden, 2026

289 kr319 kr

Ruth Kvarnström-Jones - Systrarna på Sophiahemmet, Inbunden

Nyhet

Del 3

Systrarna på Sophiahemmet

Ruth Kvarnström-Jones

Inbunden, 2026

299 kr329 kr

Nyhet

Del 3

Kärleken

Pascal Engman

Inbunden, 2026

269 kr299 kr

Nyhet

Del 4

Sot

Sara Strömberg

Pocket, 2026

79 kr129 kr

Del 1

Sly

Sara Strömberg

Pocket, 2022

79 kr129 kr

Del 3

Skinn

Sara Strömberg

Pocket, 2024

79 kr129 kr

Sarah J. Maas - A Court of Splintered Harmony, Häftad

Nyhet

Del 6

A Court of Splintered Harmony

Sarah J. Maas

Häftad, 2026

259 kr

Del 2

Skred

Sara Strömberg

Pocket, 2023

79 kr115 kr

Del i serien Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Constructible Sets in Real Geometry

Häftad, Engelska, 2011

AvCarlos Andradas,Ludwig Bröcker,Jesus M. Ruiz

1 149 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Produktinformation

Utgivningsdatum2011-12-14
Mått155 x 235 x 16 mm
Vikt435 g
FormatHäftad
SpråkEngelska
SerieErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor270
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642800269

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik

I. A First Look at Semialgebraic Geometry.- 1. Real Closed Fields and Transfer Principles.- 2. What is Semialgebraic Geometry?.- 3. Real Spaces.- 4. Examples.- II. Real Algebra.- 1. The Real Spectrum of a Ring.- 2. Specializations, Zero Sets and Real Ideals.- 3. Real Valuations.- 4. Real Going-Up and Real Going-Down.- 5. Abstract Semialgebraic Functions.- 6. Cylindrical Decomposition.- 7. Real Strict Localization.- Notes.- III. Spaces of Signs.- 1. The Axioms.- 2. Forms.- 3. SAP-Spaces and Fans.- 4. Local Spaces of Signs.- 5. The Space of Signs of a Ring.- 6. Subspaces.- Notes.- IV. Spaces of Orderings.- 1. The Axioms Revisited.- 2. Basic Constructions.- 3. Spaces of Finite Type.- 4. Spaces of Finite Chain Length.- 5. Finite Type = Finite Chain Length.- 6. Local-Global Principles.- 7. Representation Theorem and Invariants.- Notes.- V. The Main Results.- 1. Stability Formulae.- 2. Complexity of Constructible Sets.- 3. Separation.- 4. Real Divisors.- 5. The Artin-Lang Property.- Notes.- VI. Spaces of Signs of Rings.- 1. Fans and Valuations.- 2. Field Extensions: Upper Bounds.- 3. Field Extensions: Lower Bounds.- 4. Algebras.- 5. Algebras Finitely Generated over Fields.- 6. Archimedean Rings.- 7. Coming Back to Geometry.- Notes.- VII. Real Algebra of Excellent Rings.- 1. Regular Homomorphisms.- 2. Excellent Rings.- 3. Extension of Orderings Under Completion.- 4. Curve Selection Lemma.- 5. Dimension, Valuations and Fans.- 6. Closures of Constructible Sets.- 7. Real Going-down for Regular Homomorphisms.- 8. Connected Components of Constructible Sets.- Notes.- VIII. Real Analytic Geometry.- 1. Semianalytic Sets.- 2. Semianalytic Set Germs.- 3. Cylindrical Decomposition of Germs.- 4. Rings of Global Analytic Functions.- 5. Hilbert’s 17th Problem and Real Nullstellensatz.- 6.Minimal Generation of Global Semianalytic Sets.- 7. Topology of Global Semianalytic Sets.- 8. Germs at Compact Sets.- Notes.