Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Constructing isotopes on noncompact $ 3$-manifolds

Author: Marianne S. Brown
Journal: Trans. Amer. Math. Soc. 180 (1973), 237-263
MSC: Primary 57A10
MathSciNet review: 0331393
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We consider the question ``When are two homeomorphisms of a noncompact $ 3$-manifold onto itself isotopic?'' Roughly, the answer is when they are homotopic to each othet. More precisely, this paper deals with the question for irreducible $ 3$-manifolds which either have an infinite hierarchy or have such a hierarchy after the removal of a compact set. Manifolds having the first property are called end-irreducible; the others are called eventually endirreducible. There are two results fot each type of manifold depending on whether the homotopy between the two homeomorphisms sends the boundary of the manifold into itself or not.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57A10

Retrieve articles in all journals with MSC: 57A10

Additional Information

PII: S 0002-9947(1973)0331393-X
Article copyright: © Copyright 1973 American Mathematical Society