Generalized Mayer‑Vietoris for colimits over finite posets of CW‑complexes – mathoverflow.net

Y.Wei
I am trying to find a way to compute the cohomology ring of a space of the form $X:=\mathrm{colim}_{I}X_i$. Here are the properties for this diagram of spaces: The index set $I$ is a finite poset. ...