Nova Publishers
My Account Nova Publishers Shopping Cart
HomeBooksSeriesJournalsReference CollectionseBooksInformationSalesImprintsFor Authors
            
  Top » Catalog » Books » Mathematics and Statistics » My Account  |  Cart Contents  |  Checkout   
Quick Find
  
Use keywords to find the product you are looking for.
Advanced Search
What's New? more
Fetal Alcohol Syndrome: Recognition, Differential Diagnosis and Long-Term Effects
$82.00
Shopping Cart more
0 items
Information
Shipping & Returns
Privacy Notice
Conditions of Use
Contact Us
Bestsellers
01.Algebra for Athletes 2nd Edition
02.Advanced Mathematics for Engineers with Applications in Stochastic Processes
03.Pseudo-Matroids and Cuts of Matroids
04.Dynamic Fuzzy Logic and its Applications
05.Advanced Mathematics for Engineers with Applications in Stochastic Processes
06.How to Solve Problems: New Methods and Ideas
07.Introduction to Graph and Hypergraph Theory
08.Engineering Perspectives of Human Society: Application of Control Theory, Game Theory, and Information Theory to Social Phenomena
09.Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing
10.The Mathematics of the Periodic Table
Notifications more
NotificationsNotify me of updates to Uniform Classification of Open Manifolds
Tell A Friend
 
Tell someone you know about this product.
Uniform Classification of Open Manifolds
Retail Price: $230.00
10% Online Discount
You Pay:

$207.00
Authors: Juergen Eichhorn (Institut fuer Mathematik und Informatik, Universitaet Greifswald, Greifswald, Germany) 
Book Description:
A certain classification of open manifolds has been a continuous problem in geometry, topology and global analysis. The background for this is the fact that in any dimension greater than one, there are innumerous homotopy types. A solution to this problem seemed almost hopeless. In this monograph, the author offers an approach by decomposing the classification into two fundamental steps. This book introduces certain uniform structures in the set of all proper metric spaces under consideration (complexes, Riemannian manifolds, etc.), then considers the components of this uniform space by classifying the components by adapted homology theories (Gromov-Hausdorff and Lipschitz cohomology). The author then moves on to classifying the elements inside a component. For the second step, a geometric bordism theory for open manifolds and geometric generators are introduced. The main achievements include the invariance of a spectral gap under uniform homotopy equivalences and the vanishing of the K-theoretic signature in the geometric bordism theory. Concerning surgery, the absolutely fundamental achievements of Maumary and Taylor are included. Repeated motivations and explanations should make this monograph fairly legible to a vast audience. (Nova)


We’ve partnered with Copyright Clearance Center to make it easy for you to request permissions to reuse Nova content.
For more information, click here or click the "Get Permission" button below to link directly to this book on Copyright Clearance Center's website.


Table of Contents:
Preface

Acknowledgements

Chapter 1. Introduction (pp. 1-8)

Chapter 2. Uniform Structures of Proper Metric Spaces, Riemannian Manifolds and Vector Bundles (pp. 9-56)

Chapter 3. Uniform Complexes and Their Algebraic Topology (pp. 57-114)

Chapter 4. Geometric and Analytic Bordism for Open Manifolds (pp. 115-178)

Chapter 5. Open Poincare Complexes (pp. 179-224)

Chapter 6. Surgery to Proper Homotopy Equivalence at Infinity (pp. 225-250)

Chapter 7. Surgery to Uniform Homotopy Equivalence (pp. 251-264)

Chapter 8. Appendix 1: Inverse and Direct Systems (pp. 265-268)

Chapter 9. Appendix 2: Wall-Novikov Groups and Lagrangian Calculus (pp. 269-270)

Chapter 10. Appendix 3: N-Ads and Surgery Bordism Groups (pp. 271-272)

References (pp. 273-278)

About the Author (pp. 279-280)

Index of Symbols(pp. 281-282)

Index of Terms (pp. 283)

Total Pages: 283

   Series:
      Mathematics Research Developments
   Binding: Hardcover
   Pub. Date: 2018 - February
   ISBN: 978-1-53612-939-7
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
Special Focus Titles
01.Violent Communication and Bullying in Early Childhood Education
02.The New Science of Curiosity
03.Cultural Considerations in Intervention with Women and Children Exposed to Intimate Partner Violence
04.Chronic Disease and Disability: The Pediatric Lung
05.Fruit and Vegetable Consumption and Health: New Research
06.Future Perspectives on Nigella sativa: Characterization and Pharmacological Properties
07.Wine and Winemaking: The Value and Efficiency
08.Impacts and Challenges in Oil Palm Cultivation and Downstream Applications of Biomass
09.Fire and the Sword: Understanding the Impact and Challenge of Organized Islamism. Volume 2
10.The Life and Times of the World's Most Famous Mathematicians
11.Innovation Processes in the Social Space of the Organization
12.High-Strength Steels: New Trends in Production and Applications

Nova Science Publishers
© Copyright 2004 - 2018

Uniform Classification of Open Manifolds