Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A weak characteristic pair for end-irreducible $3$-manifolds
HTML articles powered by AMS MathViewer

by Bobby Neal Winters
Trans. Amer. Math. Soc. 341 (1994), 377-403
DOI: https://doi.org/10.1090/S0002-9947-1994-1182982-8

Abstract:

This extends a weakened version of the Characteristic Pair Theorem of Jaco, Shalen, and Johannson to a large subclass of the class of end-irreducible $3$-manifolds. The Main Theorem of this paper states that if $(W,w)$ is a noncompact $3$-manifold pair (where $W$ is a noncompact $3$-manifold that has an exhausting sequence with certain nice properties and where $w$ is incompressible in $W$), then there is a Seifert pair $(\Sigma ,\Phi )$ contained in $(W,w)$ such that any $2$-manifold that is strongly essential in $(W,w)$ and each of whose components is a torus, an annulus, an open annulus, or a half-open annulus is isotopic in $(W,w)$ into $(\Sigma ,\Phi )$.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 57N10, 57M10
  • Retrieve articles in all journals with MSC: 57N10, 57M10
Bibliographic Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 341 (1994), 377-403
  • MSC: Primary 57N10; Secondary 57M10
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1182982-8
  • MathSciNet review: 1182982