3 citations · 7 across the 9 of their papers we have counts for
9 papers · 1 filter
On lambda-rings and topological realization
Donald Yau
It is shown that most possibly truncated power series rings admit uncountably many filtered lambda-ring structures. The question of how many of these filtered lambda-ring structure…
Cohomology of lambda-rings
Donald Yau
A cohomology theory for lambda-rings is developed. This is then applied to study deformations of lambda-rings.
Unstable -cohomology algebra is filtered lambda-ring
Donald Yau
Boardman, Johnson, and Wilson gave a precise formulation for an unstable algebra over a generalized cohomology theory. Modifying their definition slightly in the case of complex K-…
Moduli space of filtered lambda-ring structures over a filtered ring
Donald Yau
Motivated by recent works on the genus of classifying spaces of compact Lie groups, here we study the set of filtered -ring structures over a filtered ring from a purely algebra…
Maps to spaces in the genus of infinite quaternionic projective space
Donald Yau
Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy…
A K-theoretic refinement of topological realization of unstable algebras
Donald Yau
In this paper we propose and partially carry out a program to use -theory to refine the topological realization problem of unstable algebras over the Steenrod algebra. In partic…