Smash products for secondary homotopy groups

We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered. In particular we prove a formula for the crossed effect of the cup-one product operation on unstable homotopy groups of spheres which was claimed by Barratt-Jones-Mahowald.Comment: We give a clearer description of the tensor product of symmetric sequences of quadratic pair module

X-ray holography

With the dramatic increase in x-ray source brilliance and associated coherent photon flux, holography with x-rays has become feasible and is increasingly used for real-space investigations of static and dynamic properties of nanoscale systems. We describe the basic principles and capabilities of the method and present the current state of the art. A particular emphasis is put on the investigation of magnetic nanostructures, where x-ray holography has been applied at synchrotron radiation sources and free-electron x-ray lasers to investigate dynamic effects on time scales down to the femtosecond regime

Overall survival in the OlympiA phase III trial of adjuvant olaparib in patients with germline pathogenic variants in BRCA1/2 and high-risk, early breast cancer

International audienc