For every nonnegative height n, there is some prime p and a finite p-local spectrum whose Brown–Peterson homology is BP∗/(p,v₁,…,vₙ) with its canonical comodule structure and degree-zero generator.
For every nonnegative height n, there is some prime p and a finite p-local spectrum whose Brown–Peterson homology is BP∗/(p,v₁,…,vₙ) with its canonical comodule structure and degree-zero generator.
For every nonnegative height n, there is some prime p and a finite p-local spectrum whose Brown–Peterson homology is BP∗/(p,v₁,…,vₙ) with its canonical comodule structure and degree-zero generator.
If correct, gives all-height Smith–Toda existence in ordinary finite p-local spectra when the prime may depend on height.
Does some prime support a finite Smith–Toda complex at every requested height?
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OpenAI reports Smith–Toda complexes at every height with varying primes
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