The classification conjecture for pure-injective objects in homotopy categories of gentle algebras

Let cscs be the homotopy category considered in the paper, and let cSigmacSigma-pure-injective objects be the objects classified by Theorem. Pure-injective classification conjecture. The classification in Theorem should extend from cSigmacSigma-pure-injective objects to all pure-injective objects. The proposed extension concerns the scope of the classification theorem; the source does not state that it has been proved or refuted.

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Primary source

Raphael Bennett-Tennenhaus, “Σ-pure-injectives in homotopy categories for gentle algebras”, arXiv:1911.07691 (2020).

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