1.

Record Nr.

UNINA9910811635903321

Autore

McCullough Darryl <1951->

Titolo

Homeomorphisms of 3-manifolds with compressible boundary / / Darryl McCullough and Andy Miller

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1986

©1986

ISBN

1-4704-0760-4

Descrizione fisica

1 online resource (117 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 344

Disciplina

514/.3

Soggetti

Three-manifolds (Topology)

Homeomorphisms

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"May 1986, Volume 61, Number 344 (first of 3 numbers)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""TABLE OF CONTENTS""; ""ABSTRACT""; ""INTRODUCTION""; ""CHAPTER I. INCOMPRESSIBLE NEIGHBORHOODS""; ""1.1 The incompressible neighborhood theorem""; ""1.2 Notation and terminology for orientable products-with-handles""; ""CHAPTER II. STANDARD HOMEOMORPHISMS OF AN ORIENTABLE PRODUCT-WITH-HANDLES""; ""2.1 Sliding discs and the product lemma""; ""2.2 Basic slide homeomorphisms""; ""2.3 Interchanges, spins, and special homeomorphisms""; ""2.4 Homeomorphisms isotopic to the identity""; ""CHAPTER III. THE MAPPING CLASS GROUP OF AN ORIENTABLE PRODUCT-WITH-HANDLES""

""6.1 Some lemmas""""6.2 Luft's theorem for 3-manifolds""; ""CHAPTER VII. THE NONORIENTABLE CASE""; ""7.1 Standard homeomorphi sms of V""; ""7.2 Generators for H(V,x[sub(o)])""; ""7.3 Luft's theorem for nonorientable products-with-handles""; ""7.4 Finite generation and the Johannson subgroup""; ""7.5 A rewriting algorithm for S[sup(+)]""; ""7.6 A finite set of generators for the mapping class group of a nonorientable product-with-handles""; ""REFERENCES""; ""INDEX OF NOTATIONS AND TERMS""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""P""; ""R""

""S""""T""; ""U""; ""V""; ""W""; ""X""