Thin Lens Spaces
Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 31-35

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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).
Hoffman, P.; Zabrodsky, A. Thin Lens Spaces. Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 31-35. doi: 10.4153/CMB-1978-006-3
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