  In the framework of homological characterizations of relative hyperbolicity,
Groves and Manning posed the question of whether a simply connected $2$-complex
$X$ with a linear homological isoperimetric inequality, a bound on the length
of attaching maps of $2$-cells and finitely many $2$-cells adjacent to any edge
must have a fine $1$-skeleton. We provide a positive answer to this question.
We revisit a homological characterization of relative hyperbolicity, and show
that a group $G$ is hyperbolic relative to a collection of subgroups $\mathcal
P$ if and only if $G$ acts cocompactly with finite edge stabilizers on an
connected $2$-dimensional cell complex with a linear homological isoperimetric
inequality and $\mathcal P$ is a collection of representatives of conjugacy
classes of vertex stabilizers.
