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The product formula for Stiefel-Whitney homology classes


Authors: Stephen Halperin and Domingo Toledo
Journal: Proc. Amer. Math. Soc. 48 (1975), 239-244
MSC: Primary 57C25; Secondary 57D20
DOI: https://doi.org/10.1090/S0002-9939-1975-0365584-6
MathSciNet review: 0365584
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Abstract: We give a combinatorial proof of the formula for the Stiefel-Whitney homology classes of the product of two Euler spaces. Some relevant facts on ordered triangulations are also included.


References [Enhancements On Off] (What's this?)

  • [1] E. Akin, Stiefel-Whitney homology classes and bordism, Trans. Amer. Math. Soc. (to appear). MR 0358829 (50:11288)
  • [2] S. Halperin and D. Toledo, Stiefel-Whitney homology classes, Ann. of Math. (2) 96 (1972), 511-525. MR 47 #1072. MR 0312515 (47:1072)
  • [3] D. Sullivan, Combinatorial invariants of analytic spaces, Proc. Liverpool Singularities Sympos. I (1969/70), Lecture Notes in Math., vol. 192, Springer-Verlag, Berlin, 1971, pp. 165-168. MR 43 #4063. MR 0278333 (43:4063)
  • [4] H. Whitney, On the theory of sphere bundles, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 148-153. MR 1, 220. MR 0001338 (1:220b)

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DOI: https://doi.org/10.1090/S0002-9939-1975-0365584-6
Article copyright: © Copyright 1975 American Mathematical Society

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