Let X be a space of finite type. Set q = 2(p − 1) as usual, and define the mod q support of K(n)∗(X) by S(X,K(n)) = {m ∈ Z/qZ | ⊕ d≡mmod q K(n) d 6= 0} for n > 0. Call K(n)∗(X) sparse if there is no m ∈ Z/qZ with m,m+ 1 ∈ S(X,K(n)). Then we show the relation S(X,K(n)) j S(X,K(n+1)) for any finite type space X with K(n+ 1)∗(X) being sparse. As a special case… (More)

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