Abstract

We investigate codimension-one imbeddings of punctured lens spaces and connected sums of lens spaces. For |iT\(L) | a prime power we show that L — B2k~] imbeds in S2k if and only if L is of a certain special form. If L # L' imbeds in S2k, then L ^ L' and L is homology cobordant to ZΛ For |τΓ](L)| a prime power, this implies (via Smith-theory) that L = ZΛ

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