An atlas of the smaller maps in orientable and nonorientable surfaces. (©2001)

• Record Type: Book
• Further Information: Note: David M. Jackson and Terry I. Visentin.
• Other Names: Jackson, D. M; Visentin, Terry I
• Contents: PREFACE; MAPS; INTRODUCTION; Organization of the Atlas; Further Reading; SURFACES AND MAPS; Representation of Maps and Surfaces; Examples of the Definitions; Using the Atlas; An Application of k-Realizable Partitions; THE AXIOMATIZATION AND THE ENCODING OF MAPS; Orientable Surfaces; Locally Orientable Surfaces; GENERATING SERIES AND CONJECTURES; Generating Series for Hypermaps; Specialization to Maps; The Quadrangulation Conjecture; The b-Conjecture; THE ATLAS; MAPS IN ORIENTABLE SURFACES; Genus 0 - The Sphere; Genus 1 - The Torus; Genus 2 - The Double Torus; MAPS IN NONORIENTABLE SURFACES; Genus 1 - The Projective Plane; Genus 2 - The Klein Bottle; Genus 3 - The Crosscapped Torus; Genus 4 - The Doubly Crosscapped Torus; FACE REGULAR MAPS AND HYPERMAPS; Triangulations; Quadrangulations; Hypermaps; ASSOCIATED GRAPHS AND THEIR MAPS; TABLES; NUMBERS OF ROOTED MAPS; Orientable: by Vertex and Face Partition; Nonorientable: by Vertex and Face Partition; Summarized by Edges and Vertices; NUMBERS OF UNROOTED MAPS; Orientable: by Vertex and Face Partition; Nonorientable: by Vertex and Face Partition; NONREALIZABLE PAIRS OF PARTITIONS; For Orientable Surfaces; For Nonorientable Surfaces; MAP POLYNOMIALS; b-Polynomials; Genus Distributions; BIBLIOGRAPHY; GLOSSARY; INDEX
• Publisher Details: Boca Raton, FL : Chapman & Hall/CRC
• Publication Date: 2001
• Copyright Date: 2001
• Extent: 1 online resource (279 pages), illustrations
• Subjects: 511.3/3; Mappings (Mathematics); Surfaces; MATHEMATICS -- Infinity; MATHEMATICS -- Logic; Mappings (Mathematics); Surfaces; Electronic books
• Languages: English
• ISBNs: 1420035746; 9781420035742
• Related ISBNs: 1584882077; 9781584882077
• Notes: Note: Includes bibliographical references (pages 271-273) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.