On adic genus, Postnikov conjugates, and lambda-rings

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dc.creatorYau, Donald
dc.date2001-05-24
dc.date.accessioned2026-07-07T04:41:50Z
dc.date.available2026-07-07T04:41:50Z
dc.descriptionSufficient 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0105194
dc.identifierhttp://arxiv.org/abs/math/0105194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61523
dc.subjectAlgebraic Topology
dc.subject55P15; 55N15, 55P60, 55S25
dc.titleOn adic genus, Postnikov conjugates, and lambda-rings
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