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Combinatorics of train tracks / by R.C. Penner with J.L. Harer.
Author
Penner, R. C., 1956-
[Browse]
Format
Book
Language
English
Published/Created
Princeton, N.J. : Princeton University Press, 1992.
Description
xi, 216 pages : illustrations ; 25 cm.
Availability
Available Online
De Gruyter Princeton University Press eBook Package Archive 1927-1999
JSTOR DDA
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA649 .P38 1992
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Lewis Library - Stacks
QA649 .P38 1992
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Details
Subject(s)
Geodesics (Mathematics)
[Browse]
CW complexes
[Browse]
Combinatorial analysis
[Browse]
Author
Harer, J. (John), 1952-
[Browse]
Series
Annals of mathematics studies ; no. 125.
[More in this series]
Bibliographic references
Includes bibliographical references (p. 214-216).
Contents
Ch. 1. The Basic Theory. 1.1. Train Tracks. 1.2. Multiple Curves and Dehn's Theorem. 1.3. Recurrence and Transverse Recurrence. 1.4. Genericity and Transverse Recurrence. 1.5. Trainpaths and Transverse Recurrence. 1.6. Laminations. 1.7. Measured Laminations. 1.8. Bounded Surfaces and Tracks with Stops
Ch. 2. Combinatorial Equivalence. 2.1. Splitting, Shifting, and Carrying. 2.2. Equivalence of Birecurrent Train Tracks. 2.3. Splitting versus Shifting. 2.4. Equivalence versus Carrying. 2.5. Splitting and Efficiency. 2.6. The Standard Models. 2.7. Existence of the Standard Models. 2.8. Uniqueness of the Standard Models
Ch. 3. The Structure of MCo. 3.1. The Topology of MCo and PCo. 3.2. The Symplectic Structure of MCo. 3.3. Topological Equivalence. 3.4. Duality and Tangential Coordinates
Addendum The Action of Mapping Classes on MCo.
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Other title(s)
Train tracks.
ISBN
0691087644 ((alk. paper))
9780691087641 ((alk. paper))
0691025312 ((pbk. ; : alk. paper))
9780691025315 ((pbk. ; : alk. paper))
LCCN
91033559
OCLC
24372997
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Combinatorics of train tracks / by R.C. Penner with J.L. Harer.
id
99106241203506421
Combinatorics of Train Tracks. (AM-125), Volume 125 / R. C. Penner, John L. Harer.
id
99125153254706421