New methods in coincidence theory

Author:
Kalyan K. Mukherjea

Journal:
Proc. Amer. Math. Soc. **34** (1972), 615-620

MSC:
Primary 55C20

DOI:
https://doi.org/10.1090/S0002-9939-1972-0295343-1

MathSciNet review:
0295343

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

**[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**, https://doi.org/10.2969/jmsj/01820135**[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**, https://doi.org/10.1016/0001-8708(71)90041-7**[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**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1972-0295343-1

Keywords:
Coincidence,
cobordism,
*K*-theory

Article copyright:
© Copyright 1972
American Mathematical Society