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Extensions of codimension one immersions
Author(s):
Christian
Pappas
Journal:
Trans. Amer. Math. Soc.
348
(1996),
3065-3083.
MSC (1991):
Primary 57R42
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Abstract:
We give a method for constructing all of the extensions of an immersion, and determine the CW structure and diffeomorphism type of each.
References:
- 1.
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, preprint. - 7.
- ------, Extensions of immersions into Euclidean spaces, Thesis, Univ. of California, Berkeley, 1994.
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- V. Poénaru, Extension des immersions en codimension one (d'après S. Blank), Séminaire Bourbaki, 1968, no. 342.
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- ------, The classification of immersions of spheres in Euclidean spaces, Ann. of Math. 69 (1959), 327--344. MR 21:3862
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Additional Information:
Christian
Pappas
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
Email:
pappas@math.berkeley.edu
DOI:
10.1090/S0002-9947-96-01572-3
PII:
S 0002-9947(96)01572-3
Keywords:
Extensions,
immersions,
codimension one,
Morse theory
Received by editor(s):
January 1, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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