Homology, Homotopy and Applications

The Fulton–MacPherson operad and the $W$-construction

Homology of quantum linear groups

Bredon cohomology of finite dimensional $C_p$-spaces

A remark on the double complex of a covering for singular cohomology

Higher structure in the unstable Adams spectral sequence

The homotopy type of the Baily–Borel and allied compactifications

Magnitude homology, diagonality, and median spaces

Monoids of self-maps of topological spherical space forms

Strong version of Snake Lemma in exact categories

Local to global principles for generation time over commutative noetherian rings

Invariants for tame parametrised chain complexes

Two-dimensional Golod complexes

Comparing the orthogonal and unitary functor calculi

The Tamarkin–Tsygan calculus of an associative algebra à la Stasheff

Gauge equivalence for complete $L_\infty$-algebras

Left Bousfield localization and Eilenberg–Moore categories

Homotopy Gerstenhaber formality of Davis–Januszkiewicz spaces

Rigidification of dendroidal infinity-operads

Erratum to “Properness and simplicial resolutions for the model category $\mathbf{dgCat}$”

Erratum to “Small presentations of model categories and Vopěnka’s principle”

The $\mathsf{P}^1_2$ margolis homology of connective topological modular forms