In the model theory of modules the Ziegler spectrum, the space of indecomposable pure-injective modules, has played a key role. We investigate the possibility of defining a similar space in the context of G-sets where G is a group.
"Pure-injectivity and model theory for G-sets." J. Symbolic Logic 74 (2) 474 - 488, June 2009. https://doi.org/10.2178/jsl/1243948323