DVI FILE: stabop.dvi
TITLE: Stable operations in generalized cohomology
AUTHOR: J. Michael Boardman
TO APPEAR: Handbook of Algebraic Topology, ed. I.M.James,
Elsevier (Amsterdam, 1995).
We describe the structure of the stable operations on E-cohomology
following Adams, in a manner that generalizes to unstable operations. The
appropriate context is the language of comonads and coalgebras over a
comonad. The necessary category theory is developed in detail. Five examples
are presented: ordinary mod p cohomology, unitary cobordism MU, Brown-
Peterson cohomology BP, complex K-theory KU, and Morava K-theory K(n).