**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1999; 178 pp; Hardcover

MSC: Primary 57; 58; 37;

Print ISBN: 978-0-8218-2094-0

Product Code: TRANS2/197

Print ISBN: 978-0-8218-2094-0

Product Code: TRANS2/197

List Price: $103.00

Individual Member Price: $82.40

**Electronic ISBN: 978-1-4704-3408-3
Product Code: TRANS2/197.E**

List Price: $103.00

Individual Member Price: $82.40

# Pseudoperiodic Topology

Share this page *Edited by *
*Vladimir Arnold; Maxim Kontsevich; Anton Zorich*

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 set-theoretical setting.”

#### Table of Contents

# Table of Contents

## Pseudoperiodic Topology

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Preface ix10
- On the topology of quasiperiodic functions 114
- Statistics of Klein polyhedra and multidimensional continued fractions 922
- 𝐶⁰-generic properties of boundary operators in the Novikov complex 2942
- Pseudoperiodic mappings 117130
- How do the leaves of a closed 1-form wind around a surface? 135148
- Back Cover Back Cover1194

#### Readership

Graduate students and research mathematicians interested in geometry and topology, specifically differential topology.