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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Decomposing a $4$-manifold

Author(s): Selman Akbulut
Journal: Proc. Amer. Math. Soc. 127 (1999), 3413-3419.
MSC (1991): Primary 57R55; Secondary 58A03
Posted: May 3, 1999
MathSciNet review: 1610900
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Abstract | References | Similar articles | Additional information

Abstract: A splitting of a manifold in Kirby's problem list (no. 4.97) is given.


References:

1.
S. Akbulut, A Fake compact contractible 4-manifold, J. Diff. Geom. 33 (1991), 335-356. MR 92b:57025

2.
S. Akbulut and R. Kirby, Branched covers of surfaces in 4-manifolds, Math. Ann. 252 (1980), 111-131. MR 82j:57001

3.
S. Akbulut and R. Kirby, Mazur manifolds, Michigan Math. J. 24 (1979), 259-284. MR 80h:57004

4.
R. Kirby, Problems in low dimensional topology, Geometric topology, Studies in Advanced Math. AMS/IP vol. 2, part 2 (1993).


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Additional Information:

Selman Akbulut
Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email: akbulut@math.msu.edu

DOI: 10.1090/S0002-9939-99-04897-2
PII: S 0002-9939(99)04897-2
Keywords: Contractible manifold, Milnor fiber
Received by editor(s): January 15, 1998
Received by editor(s) in revised form: January 29, 1998
Posted: May 3, 1999
Additional Notes: The author was partially supported by NSF grant DMS-9626204.
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 1999, American Mathematical Society




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