Whitney's trick for three 
-dimensional homology classes of 
-manifolds
Author:
Masayuki Yamasaki
Journal:
Proc. Amer. Math. Soc. 75 (1979), 365-371
MSC:
Primary 57N15
DOI:
https://doi.org/10.1090/S0002-9939-1979-0532167-8
MathSciNet review:
532167
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Abstract | References | Similar Articles | Additional Information
Abstract: In his recent paper, Y. Matsumoto has defined a triple product of 2-homology classes of simply-connected oriented 4-manifolds, when the intersection numbers are zero. In the present paper, the author establishes that three 2-homology classes can be homotopically separated if the intersection numbers and the triple product vanish.
- [1] M. Freedman and R. Kirby, A geometric proof of Rochlin's theorem, Proc. Sympos. Pure Math., vol. 32, Part 2, Amer. Math. Soc., Providence, R. I., 1978, pp. 85-98. MR 520525 (80f:57015)
- [2] K. Kobayashi, On a homotopy version of 4-dimensional Whitney's lemma, Math. Seminar Notes Kobe Univ. 5 (1977), 109-116. MR 0458431 (56:16634)
- [3] Y. Matsumoto, Secondary intersectional properties of 4-manifolds and Whitney's trick, Proc. Sympos. Pure Math., vol. 32, Part 2, Amer. Math. Soc., Providence, R. I., 1978, pp. 99-107. MR 520526 (80e:57017)
- [4] J. Milnor, Lectures on the h-cobordism theorem, Math. Notes, vol. 1, Princeton Univ. Press, Princeton, N. J., 1965. MR 0190942 (32:8352)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1979-0532167-8
Keywords:
Matsumoto triple,
Whitney's trick
Article copyright:
© Copyright 1979
American Mathematical Society
