University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Weihrauch degrees for generalized Baire space

Weihrauch degrees for generalized Baire space

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact webseminars.

Mathematical, Foundational and Computational Aspects of the Higher Infinite

The theory of Weihrauch degrees is about representing classical theorems of analysis in Baire space and comparing their strength (measured as the Weihrauch degree). In this talk, we are exploring a version of this theory for generalized Baire space. The first step in this generalization is that of finding a generalization of R on which we can prove a version of theorems from classical analysis. The first part of the talk will be devoted to the presentation of the construction of an extension of R on which we can prove a version of the Intermediate Value Theorem. In the second part of the talk we will be focusing on generalizing notions from computable analysis. Finally we will show how this new framework can be used to characterize the strength of the generalized version of the version of the Intermediate Value Theorem we presented in the first half of the talk.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity