Homology, Homotopy and Applications

Table of Contents

Splittings in the Burnside ring and in $SF_G$

Excision for $K$-theory of connective ring spectra

The Euler characteristic of a category as the sum of a divergent series

On affine morphisms of Hopf algebroids

Deformation bicomplex of module algebras

Inertia and delocalized twisted cohomology

Cofibrant objects among higher-dimensional categories

Betti numbers of random manifolds

Group elements conjugate to their powers and Bass’ conjecture

Group homology and extensions of groups

A refinement of multi-dimensional persistence

Cotorsion pairs and degreewise homological model structures

On the homotopy theory of $n$-types

A new higher homotopy groupoid: the fundamental globular $ω$-groupoid of a filtered space

Strong excision and strong shape invariance are equivalent for homology theories on the category of compact metric pairs

Towards a homotopy theory of process algebra

On the algebraic classification of $K$-local spectra

The Bousfield lattice for truncated polynomial algebras

On the homotopy groups of toric spaces