Midwest Computability Seminar

XXVII
Part vi


The Midwest Computability Seminar is meeting remotely in the fall of 2021. The recurring Zoom link is:

https://notredame.zoom.us/j/99754332165?pwd=RytjK1RFZU5KWnZxZ3VFK0g4YTMyQT09

Meeting ID: 997 5433 2165

Passcode: midwest


slides    Panopto video    YouTube video


This session will be held jointly with the Computability Theory and Applications Online Seminar.


DATE: Monday, November 22nd, 2021

TIME: 3:30 - 4:30 PM Central Time


SPEAKER: Elvira Mayordomo - University of Zaragoza

TITLE: Extending the reach of the point-to-set principle

ABSTRACT: The point-to-set principle of J. Lutz and N. Lutz (2018) has recently enabled the theory of computing to be used to answer open questions about fractal geometry in Euclidean spaces ℝn. These are classical questions whose statements do not involve computation or related aspects of logic.

I will present the generalization of the point-to-set principle from Euclidean spaces to arbitrary separable metric spaces and to a large class of gauge families.

Then I will demonstrate the power of our extended point-to-set principle by using it to prove new theorems about classical fractal dimensions in hyperspaces.

(The results presented are joint work with Jack Lutz and Neil Lutz).



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