Sławomir Solecki

Sławomir Solecki: Incomparable Borel linear subspaces of \(\mathbb{R}\) (over \(\mathbb{Q}\))

Tuesday, April 25, 2023 17:00

Location: room A.4.1 C-19

Speaker:
Sławomir Solecki (Cornell University)

Title: Incomparable Borel linear subspaces of \(\mathbb{R}\) (over \(\mathbb{Q}\))

Abstract: We present a construction of a large family of Borel linear subspaces of \(\mathbb{R}\) (over \(\mathbb{Q}\)), which are incomparable with respect to Borel linear embeddings (over \(\mathbb{Q}\)). A version of this construction answers a question by Frisch and Shinko.

Sławomir Solecki: Random continuum and Brownian motion

Tuesday, November 17, 2020 17:00

Location: Zoom.us: if you want to participate please contact organizers

Speaker:
Sławomir Solecki (Cornell University)

Title: Random continuum and Brownian motion

Abstract: We describe a probabilistic model involving iterated Brownian motion for constructing a random chainable continuum. We show that this random continuum is indecomposable. We use our probabilistic model to define a Wiener-type measure on the space of all chainable continua. This is joint work with Viktor Kiss.