2 papers
math.AT2024
On the weak homotopy types of small finite spaces
Kango Matsushima, Shuichi Tsukuda
We show that a connected finite topological space with or less points has a weak homotopy type of a wedge of spheres. In other words, we show that the order complex of a conne…
math.GT2017
The third symmetric potency of the circle and the Barnette sphere
Yuki Nakandakari, Shuichi Tsukuda
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 sym…