New methods in coincidence theory

New methods in coincidence theory
HTML articles powered by AMS MathViewer

by Kalyan K. Mukherjea PDF

Proc. Amer. Math. Soc. 34 (1972), 615-620 Request permission

Cobordism theory is used to obtain a new type of result concerning the coincidence of maps between compact manifolds.

References

M. F. Atiyah, $K$-theory, W. A. Benjamin, Inc., New York-Amsterdam, 1967. Lecture notes by D. W. Anderson. MR 0224083
P. E. Conner and E. E. Floyd, The relation of cobordism to $K$-theories, Lecture Notes in Mathematics, No. 28, Springer-Verlag, Berlin-New York, 1966. MR 0216511
Eldon Dyer, Cohomology theories, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0268883
Tsunekazu Kambe, The structure of $K_{\Lambda }$-rings of the lens space and their applications, J. Math. Soc. Japan 18 (1966), 135–146. MR 198491, DOI 10.2969/jmsj/01820135
Jack Johnson Morava, Fredholm maps and Gysin homomorphisms, Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 135–156. MR 0268920
Daniel Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Math. 7 (1971), 29–56 (1971). MR 290382, DOI 10.1016/0001-8708(71)90041-7
Norman E. Steenrod, The work and influence of Professor S. Lefschetz in algebraic topology, Algebraic geometry and topology. A symposium in honor of S. Lefschetz, Princeton University Press, Princeton, N.J., 1957, pp. 24–43. MR 0086294