Almost normal surfaces in 3-manifolds

Author:
Michelle Stocking

Journal:
Trans. Amer. Math. Soc. **352** (2000), 171-207

MSC (1991):
Primary 57M02

DOI:
https://doi.org/10.1090/S0002-9947-99-02296-5

Published electronically:
September 21, 1999

MathSciNet review:
1491877

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: J. H. Rubinstein introduced the theory of almost normal surfaces to solve several homeomorphism problems for 3-manifolds. A. Thompson simplified Rubinstein's algorithm for recognizing the 3-sphere by using almost normal surface theory and thin position. This paper discusses higher genus analogues to A. Thompson's work.

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Additional Information

**Michelle Stocking**

Affiliation:
Department of Mathematics, University of California, Davis, California 95616

Address at time of publication:
Department of Mathematics, University of Texas, Austin, Texas 78712

Email:
stocking@math.utexas.edu

DOI:
https://doi.org/10.1090/S0002-9947-99-02296-5

Received by editor(s):
October 25, 1996

Received by editor(s) in revised form:
October 17, 1997

Published electronically:
September 21, 1999

Additional Notes:
It should be noted that this paper greatly reflects my Ph.D. dissertation that was done with Professor Joel Hass at the University of California, Davis.

Article copyright:
© Copyright 1999
American Mathematical Society