Paweł Krupski: The complexity of homogeneous continua
27/10/20 16:02
Tuesday, November 3, 2020 17:15
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Paweł Krupski
Title: The complexity of homogeneous continua
Abstract: I will show that the family of all homogeneous continua in the hyperspace of all subcontinua of the cube \(I^n, n=2,3,\ldots ,\omega\), is analytic and contains a topological copy of the linear space \(c_0=\{(x_k)\in {\mathbb{R}}^\omega: \lim x_k=0\}\) as a closed subset. A historical background will also be sketched.
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Paweł Krupski
Title: The complexity of homogeneous continua
Abstract: I will show that the family of all homogeneous continua in the hyperspace of all subcontinua of the cube \(I^n, n=2,3,\ldots ,\omega\), is analytic and contains a topological copy of the linear space \(c_0=\{(x_k)\in {\mathbb{R}}^\omega: \lim x_k=0\}\) as a closed subset. A historical background will also be sketched.