Infinite atomic smashing-closed descent

Determine whether the equivalence in finite atomic smashing-closed descent extends to arbitrary, possibly infinite, atomic smashing-closed coverings.

Background

The paper proves that, for compactly-rigidly generated stable categories, the telescope conjecture is equivalent between the ambient category and each member of a finite atomic smashing-closed covering. It explicitly leaves open whether finiteness can be removed.

References

Can \cref{finiteatsmcloseddescent} be extended to arbitrary, possibly infinite, atomic smashing-closed coverings?

— Generalized Telescope Conjecture  (2609.03375 - Liang, 3 Sep 2026) in Section 4, subsection “Atomic recollement in the stable setting,” immediately after Theorem 4.?? (labelled finiteatsmcloseddescent)