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 ...

Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were ...

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 ...

https://doi.org/10.4007/annals.2019.189.1.1 https://www.jstor.org/stable/10.4007/annals.2019.189.1.1 We compute the 1-line of stable homotopy groups of motivic ...

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 ...

This study extends algebraic perspectives to non-topological closure spaces by introducing Hopf structures. We define closure Hopf spaces and groups, investigate their properties, and explore homotopy ...

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 ...