Piotr Borodulin-Nadzieja

Piotr Borodulin-Nadzieja: Fams on omega

Tuesday, January 9, 2024 17:00

Location: room 601, Mathematical Institute, University of Wroclaw

Speaker:
Piotr Borodulin-Nadzieja

Title: Fams on omega

Abstract: I will review some recent results about finitely additive measures on \(\omega\). In particular, I will talk about some new examples of such measures, motivated by the problem if there is a P-measure in the Silver model. Joint work with Jonathan Cancino and Adam Morawski.

Piotr Borodulin-Nadzieja: On P-measures in random model

Tuesday, October 26, 2021 17:00

Location: room 605, Mathematical Institute, University of Wroclaw

Speaker:
Piotr Borodulin-Nadzieja


Title: On P-measures in random model

Abstract: We consider compact spaces which can be embedded into a product of real lines so that the support of every element is of size \(<\kappa\); here \(\kappa\) is a fixed cardinal number. We discuss measure-theoretic properties of such spaces and related properties of Banach spaces of continuous functions.

Piotr Borodulin-Nadzieja: Tunnels through topological spaces

Tuesday, April 17, 2018 17:15

Room: D1-215

Speaker:
Piotr Borodulin-Nadzieja

Title: Tunnels through topological spaces

Abstract. I will show a ZFC example of a compact space (without isolated points) through which one cannot drill a tunnel. I will discuss when and when not \(\omega^*\) has a tunnel.

Piotr Borodulin-Nadzieja: Mathias forcings for slaloms

Tuesday, March 8, 2016 17:15

Room: D1-215

Speaker:
Piotr Borodulin-Nadzieja

Title: Mathias forcings for slaloms

Abstract. We will show an example of a Boolean algebra which is not sigma-centered but sigma-n-linked. Moreover, it has property (*) of Fremlin. Such examples were known before. We will construct our algebra using Mathias forcing for something resembling the density filter.

Piotr Borodulin-Nadzieja: Analytic P-ideals and Banach spaces

Tuesday, November 4, 2014 17:15

Room: D1-215

Speaker:
Piotr Borodulin-Nadzieja

Title: Analytic P-ideals and Banach spaces

Abstract. We consider certain generalization of the notion of summability of an ideal (on the natural numbers) which connects theory of analytic P-ideals with the theory of Banach spaces.