Abstract
In this paper we investigate whether a polynomial algebra can be realized as a cohomology ring of a topological space. Our main results are that we can split the realizable polynomial algebra into a tensor product of certain simple factors and that these factors are given explicitly whenp>7. What is worth mentioning is that most of these factors are known to be realizable.
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Jianzhong, P. Realizable polynomial algebras. Acta Mathematica Sinica 10, 243–248 (1994). https://doi.org/10.1007/BF02560715
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DOI: https://doi.org/10.1007/BF02560715