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On adic genus, Postnikov conjugates, and lambda-rings

Donald Yau
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Abstract

Sufficient conditions on a space are given which guarantee that the $K$-theory ring and the ordinary cohomology ring with coefficients over a principal ideal domain are invariants of, respectively, the adic genus and the SNT set. An independent proof of Notbohm's theorem on the classification of the adic genus of $BS^3$ by $KO$-theory $λ$-rings is given. An immediate consequence of these results about adic genus is that the power series ring $\mathbf{Z} \lbrack \lbrack x \rbrack \rbrack$ admits uncountably many pairwise non-isomorphic $λ$-ring structures.

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Donald Yau. 2001-05-24. On adic genus, Postnikov conjugates, and lambda-rings. https://arxiv.org/abs/math/0105194

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