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The third symmetric potency of the circle and the Barnette sphere by Nakandakari, Yuki; Tsukuda, Shuichi is a scholarly article available to read on EtoBox.

What is The third symmetric potency of the circle and the Barnette sphere about?

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.

Author

Nakandakari, Yuki; Tsukuda, Shuichi

Published

2017

Language

EN