关于adic亏格、Postnikov共轭和Adicda-环
On adic genus, Postnikov conjugates, and lambda-rings
摘要：
给出了空间上保证主理想整环上系数的$K$ -理论环和普通上同调环分别是adic亏格和SNT集的不变量的充分条件.利用$KO$ -理论$λ$ -环给出了关于$BS^3$的adic亏格分类的Notbohm定理的一个独立证明.这些关于adic亏格的结果的一个直接结果是幂级数环$\mathbf{Z} \lbrack \lbrack x \rbrack \rbrack$允许不可数多个两两非同构的$λ$ -环结构。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
