圆与Barnette球的第三对称势
The third symmetric potency of the circle and the Barnette sphere
摘要：
我们给出了一个基本的（不是剪切只是粘贴）证明结果的Bott和Shchepin：空间的非空子集的基数最多为3，这是所谓的第三对称潜力的圆，同胚的3-球和包含的空间的一个元素的子集是一个三叶结。此外，我们给出了一个显式的单纯分解的第三对称的潜力的圆是同构的巴内特球。
英文摘要：
We give an elementary (not cut just paste) proof of results of Bott and Shchepin: the space of non-empty subsets of a circle of cardinality at most 3, which is called the third symmetric potency of the circle, is homeomorphic to a 3-sphere and the inclusion of the space of one element subsets is a trefoil knot. Moreover, we give an explicit simplicial decomposition of the third symmetric potency of the circle which is isomorphic to the Barnette sphere.
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。
