Homotopy theory and K‐theory are intertwined fields that have significantly advanced our understanding of topological spaces, algebraic structures and their interrelations. Homotopy theory studies ...

In his paper On the groups J(X). IV, Adams suggested that one might try to continue his d and e invariants to a sequence of higher homotopy invariants, each defined upon the vanishing of its ...

This is a preview. Log in through your library . Abstract A cylinder-web diagram with associated diagonal sequences is described in stable homotopy pair theory. The diagram may be used to compute ...

Boardman, who specialized in algebraic and differential topology, was renowned for his construction of the first rigorously correct model of the homotopy category of spectra, a branch of mathematics ...

CU Boulder’s Agnès Beaudry and Sean O’Rourke will use the support to advance homotopy theory and random matrix theory Two young mathematicians at the University of Colorado Boulder have won Early ...

Abstract: As S^1-spectra are crucial for studying cohomology theories on topological spaces, the theory of P^1-spectra plays an important role in studying cohomology theories on schemes. Voevodsky ...

Ending a six-decade-old mathematical mystery with the help of computational methods, a trio of Chinese scientists have proven that manifolds of Kervaire invariant one do exist in dimension 126. The ...