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Almost normal surfaces in 3-manifolds
Author(s):
Michelle
Stocking
Journal:
Trans. Amer. Math. Soc.
352
(2000),
171-207.
MSC (1991):
Primary 57M02
Posted:
September 21, 1999
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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:
10.1090/S0002-9947-99-02296-5
PII:
S 0002-9947(99)02296-5
Received by editor(s):
October 25, 1996
Received by editor(s) in revised form:
October 17, 1997
Posted:
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.
Copyright of article:
Copyright
1999,
American Mathematical Society
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