Hahn-Wilson Conjecture

The Hahn-Wilson conjecture asserts that fp-spectra of fp-type at most are exactly the objects in the ordinary thick subcategory generated by the -completed truncated Brown-Peterson spectrum . The ambient category is that of -complete spectra, and thick closure permits finite sums, integer shifts, cofiber sequences, and retracts. It does not include tensoring with arbitrary spectra as an extra operation.