Whitney’s trick for three 2-dimensional homology classes of 4-manifolds

Yamasaki, Masayuki

doi:10.1090/S0002-9939-1979-0532167-8

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ISSN 1088-6826(online) ISSN 0002-9939(print)

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
MathSciNet review: 532167
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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.

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[2] Kazuaki Kobayashi, On a homotopy version of 4-dimensional Whitney’s lemma, Math. Sem. Notes Kobe Univ. 5 (1977), no. 1, 109–116. MR 0458431 (56 #16634)
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