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 ...

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 ...

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 ...

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 ...

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 ...

Elements λn, n ≥ 0, which generate the homotopy groups of spheres in the category of simplicial Lie algebras are shown to have Hopf invariant one. This fact is shown to have strong implications for ...