Homology, Homotopy and Applications

Two theorems on cohomological pairings

Self-closeness numbers of non-simply-connected spaces

The classifying space of the 1+1 dimensional $G$-cobordism category

Haefliger’s approach for spherical knots modulo immersions

The homotopy solvability of compact Lie groups and homogenous topological spaces

The homotopy-invariance of constructible sheaves

Homology transfer products on free loop spaces: orientation reversal on spheres

The homology of connective Morava $E$-theory with coefficients in $\mathbb{F}_p$

When Bousfield localizations and homotopy idempotent functors meet again

On bialgebras, comodules, descent data and Thom spectra in $\infty$-categories

Zig-zag modules: cosheaves and $k$-theory

The structuring effect of a Gottlieb element on the Sullivan model of a space

Lifespan functors and natural dualities in persistent homology

Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\mathrm{G}_2 (p)$

The cohomology of free loop spaces of rank $2$ flag manifolds

Classifying space via homotopy coherent nerve

$K$-theory of real Grassmann manifolds

Erratum to “From loop groups to 2-groups”