The plethory of operations in complex topological K-theory

We provide a concrete introduction to the topologised, graded analogue of an algebraic structure known as plethory, originally due Tall and Wraith. Stacey Whitehouse showed this is present on cohomology operations for suitable generalised theory. compute explicit expression plethory complex topological K-theory. This formulated in terms enhanced with corresponding looping operations. In context we show that familiar lambda generate all