The last few years have seen a revolution in our understanding of the foundations of stable
homotopy theory. Many symmetric monoidal model categories of spectra whose homotopy …

The purpose of this book is to introduce algebraic topology using the novel approach of
homotopy theory, an approach with clear applications in algebraic geometry as understood …

Modular forms appear in many facets of mathematics, and have played important roles in
geometry, mathematical physics, number theory, representation theory, topology, and other …

We compute the mod 2 cohomology of Waldhausen's algebraic K-theory spectrum A (∗) of
the category of finite pointed spaces, as a module over the Steenrod algebra. This also …

The universality of equivariant complex bordism Page 1 Digital Object Identifier (DOI)
10.1007/s002090100315 Math. Z. 239, 455–475 (2002) The universality of equivariant complex …

We show how the formal Wirthmuller isomorphism theorem proven in" Isomorphisms
between left and right adjoints", by Fausk, Hu, and May, simplifies the proof of the …

We define strong cofibrations and fibrations in suitably enriched categories using the relative
homotopy extension resp. lifting property. We prove a general pairing result, which for …

We apply recent work of A. Lazarev which develops an obstruction theory for the existence
of R-algebra structures on R-modules, where R is a commutative S-algebra. We show that …

The quest for an obstruction theory to E∞ ring structures on a spectrum has led a number of
authors to the investigation of homology in the category of E∞ algebras. In this note we …

This survey of model categories and their applications in algebraic topology is intended as
an introduction for non homotopy theorists, in particular category theorists and categorical …