Paweł Krupski

Paweł Krupski: Remarks and questions on hyperspaces of knots: Borel complexity and local contractibility

Tuesday, June 6, 2023 17:00

Location: room A.4.1 C-19

Speaker:
Paweł Krupski

Title: Remarks and questions on hyperspaces of knots: Borel complexity and local contractibility

Abstract: Remarks and questions on hyperspaces of knots: Borel complexity and local contractibility

Paweł Krupski: On the hyperspace of simple closed curves in the plane

Tuesday, October 11, 2022 17:00

Location: room C11-3.11

Speaker:
Paweł Krupski

Title: On the hyperspace of simple closed curves in the plane

Abstract: The Vietoris hyperspace of simple closed curves in the plane will be discussed toward its desirable characterization. In particular, the local contractibility will be shown.

Joint work with Krzysztof Omiljanowski.

Paweł Krupski: The complexity of homogeneous continua

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.