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Hardcover ISBN:  9780821820940 
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Product Code:  TRANS2/197.B 
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Hardcover ISBN:  9780821820940 
Product Code:  TRANS2/197 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470434083 
Product Code:  TRANS2/197.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821820940 
eBook ISBN:  9781470434083 
Product Code:  TRANS2/197.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 197; 1999; 178 ppMSC: Primary 57; 58; 37
This volume offers an account of the present state of the art in pseudoperiodic topology—a young branch of mathematics, born at the boundary between the ergodic theory of dynamical systems, topology, and number theory. Related topics include the theory of algorithms, convex integer polyhedra, Morse inequalities, real algebraic geometry, statistical physics, and algebraic number theory. The book contains many new results. Most of the articles contain brief surveys on the topics, making the volume accessible to a broad audience.
From the Preface by V.I. Arnold: “The authors ... have done much to show how modern mathematics begets, from this sea of pathological counterexamples, remarkable general and universal laws, whose discovery would be unthinkable and whose formulation would be impossible in the naive settheoretical setting.”
ReadershipGraduate students and research mathematicians interested in geometry and topology, specifically differential topology.

Table of Contents

Chapters

S. M. GuseinZade — On the topology of quasiperiodic functions

M. L. Kontsevich and Yu. M. Suhov — Statistics of Klein polyhedra and multidimensional continued fractions

A. Pajitnov — $C^0$generic properties of boundary operators in the Novikov complex

D. A. Panov — Pseudoperiodic mappings

Anton Zorich — How do the leaves of a closed 1form wind around a surface?


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This volume offers an account of the present state of the art in pseudoperiodic topology—a young branch of mathematics, born at the boundary between the ergodic theory of dynamical systems, topology, and number theory. Related topics include the theory of algorithms, convex integer polyhedra, Morse inequalities, real algebraic geometry, statistical physics, and algebraic number theory. The book contains many new results. Most of the articles contain brief surveys on the topics, making the volume accessible to a broad audience.
From the Preface by V.I. Arnold: “The authors ... have done much to show how modern mathematics begets, from this sea of pathological counterexamples, remarkable general and universal laws, whose discovery would be unthinkable and whose formulation would be impossible in the naive settheoretical setting.”
Graduate students and research mathematicians interested in geometry and topology, specifically differential topology.

Chapters

S. M. GuseinZade — On the topology of quasiperiodic functions

M. L. Kontsevich and Yu. M. Suhov — Statistics of Klein polyhedra and multidimensional continued fractions

A. Pajitnov — $C^0$generic properties of boundary operators in the Novikov complex

D. A. Panov — Pseudoperiodic mappings

Anton Zorich — How do the leaves of a closed 1form wind around a surface?