On fibering of cobordism classes

Stong, R. E.

doi:10.1090/S0002-9947-1973-0315733-3

On fibering of cobordism classes
HTML articles powered by AMS MathViewer

by R. E. Stong

Trans. Amer. Math. Soc. 178 (1973), 431-447

DOI: https://doi.org/10.1090/S0002-9947-1973-0315733-3

PDF | Request permission

Abstract:

This paper studies the problem posed by Conner and Floyd of finding which cobordism classes are represented by the total space of a fibering with prescribed base or fiber.

References

R. L. W. Brown, Cobordism and bundles over spheres, Michigan Math. J. 16 (1969), 315–320. MR 250319
R. O. Burdick, Oriented manifolds fibered over the circle, Proc. Amer. Math. Soc. 17 (1966), 449–452. MR 220302, DOI 10.1090/S0002-9939-1966-0220302-1
P. E. Conner, The bordism class of a bundle space, Michigan Math. J. 14 (1967), 289–303. MR 227995, DOI 10.1307/mmj/1028999779
P. E. Conner and E. E. Floyd, Fibring within a cobordism class, Michigan Math. J. 12 (1965), 33–47. MR 179796, DOI 10.1307/mmj/1028999243

Differentiable periodic maps

31

William S. Massey, Algebraic topology: An introduction, Harcourt, Brace & World, Inc., New York, 1967. MR 0211390
John Milnor, A procedure for killing homotopy groups of differentiable manifolds. , Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 39–55. MR 0130696
C. T. C. Wall, Determination of the cobordism ring, Ann. of Math. (2) 72 (1960), 292–311. MR 120654, DOI 10.2307/1970136