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Published online by Cambridge University Press: 20 November 2018
In Theorem 1 below we study the existence of spaces whose cohomology rings are isomorphic (as ungraded rings) to those of lens spaces. The case p = 2 is very simple and instructive, so let us consider it first.
Suppose X is a space such that
where dim x = 2d (for example X = RP4 with d = 1).