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Suppose we have the sequence of sets ℝ, ℝ2, ℝ3, … Is there a Kan simplicial structure on this sequence of sets, that is not n-coskeletal for some n∈ℕ?
To be more precise, is there a simplicial set (functor) R with R([n])=ℝn+1 that is not n-coskeletal for some n∈ℕ?
And very closely related: is there a simplicial set (functor) R with R([n])=ℝn (with R([0]))={0}), that is not n-coskeletal for some n∈ℕ ?
Or is there a theorem that rules it out?
What about general “existance theorems” for Kan simplicial structures?
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