Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

New methods in coincidence theory


Author: Kalyan K. Mukherjea
Journal: Proc. Amer. Math. Soc. 34 (1972), 615-620
MSC: Primary 55C20
MathSciNet review: 0295343
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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


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

  • [1] M. F. Atiyah, 𝐾-theory, Lecture notes by D. W. Anderson, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0224083
  • [2] 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
  • [3] Eldon Dyer, Cohomology theories, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0268883
  • [4] Tsunekazu Kambe, The structure of 𝐾_{Λ}-rings of the lens space and their applications, J. Math. Soc. Japan 18 (1966), 135–146. MR 0198491
  • [5] 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
  • [6] Daniel Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Math. 7 (1971), 29–56 (1971). MR 0290382
  • [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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55C20

Retrieve articles in all journals with MSC: 55C20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0295343-1
Keywords: Coincidence, cobordism, K-theory
Article copyright: © Copyright 1972 American Mathematical Society