Homology, Homotopy and Applications

Poincaré/Koszul duality for general operads

A Wells type exact sequence for non-degenerate unitary solutions of the Yang–Baxter equation

$1$-smooth pro-$p$ groups and Bloch–Kato pro-$p$ groups

Optimal colored Tverberg theorems for prime powers

Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties

Self-duality of the lattice of transfer systems via weak factorization systems

Cartesian fibrations and representability

On cohomology in symmetric tensor categories in prime characteristic

The stable hull of an exact $\infty$-category

Graphs associated to fold maps from closed surfaces to the projective plane

Spectral sequences of a Morse shelling

Nondegenerate homotopy and geometric flows

On generalized projective product spaces and Dold manifolds

Hyperplane restrictions of indecomposable $n$-dimensional persistence modules

Exponentials of non-singular simplicial sets

Persistent homology with non-contractible preimages

On the string topology coproduct for Lie groups

Path homology of directed hypergraphs

Magnitude meets persistence: homology theories for filtered simplicial sets

On the convergence of the orthogonal spectral sequence