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A 4-manifold which admits no spine
Author(s):
Yukio
Matsumoto
Journal:
Bull. Amer. Math. Soc.
81
(1975),
467-470.
MSC (1970):
Primary 55C45, 57C65, 18F25;
Secondary 55A25, 55C35
MathSciNet review:
0380814
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Additional information
References:
- 1.
- S. E. Cappell and J. L. Shaneson, The codimension two placement problem and homology equivalent manifolds, Ann. of Math. (2) 99 (1974), 277-348. MR 339216
- 2.
- S. E. Cappell and J. L. Shaneson, Totally spineless manifolds, Topology (to appear).
- 3.
- F. T. Farrell and W. C. Hsiang, A geometric interpretation of the Künneth formula for algebraic K-theory, Bull. Amer. Math. Soc. 74 (1968), 548-553. MR 37 #274. MR 224675
- 4.
- M. Kato and Y. Matsumoto, Simply connected surgery of submanifolds in codimension two. I, J. Math. Soc. Japan 24 (1972), 586-608. MR 46 #6369. MR 307249
- 5.
- Y. Matsumoto, Surgery and singularities in codimension two, Proc. Japan Acad. 47 (1971), 153-156. MR 45 #6008. MR 296949
- 6.
- Y. Matsumoto, Knot cobordism groups and surgery in codimension two, J. Fac. Sci. Univ. Tokyo, Sect. IA 20 (1973), 253-317. MR 334228
- 7.
- Y. Matsumoto, Some relative notions in the theory of Hermitian forms, Proc. Japan Acad. 49 (1973), 583-587. MR 336758
- 8.
- B. Mazur, A note on some contractible 4-manifolds, Ann. of Math. (2) 73 (1961), 221-228. MR 23 #A2873. MR 125574
- 9.
- G. Torres and R. H. Fox, Dual presentation of the group of a knot, Ann. of Math. (2) 59 (1954), 211-218. MR 15, 979. MR 62439
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13787-6
PII:
S 0002-9904(1975)13787-6
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