University of Cambridge > Talks.cam > Synthetic Differential Geometry Seminar > Smooth Infinitesimal Analysis III

Smooth Infinitesimal Analysis III

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

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

This will be the last talk on Smooth Infinitesimal Analysis. With Fubini’s theorem we will conclude the reformulation of classical analysis within SDG using just the Kock-Lawvere and Integration axiom and move on to some further important concepts: the infinitesimal neighborhoods of the diagonal and the Fermat-Reyes axiom. We will prove the Fermat-Reyes axiom from the integration axiom. Using Fermat-Reyes we will show R^n reflexive. (This will be of importance for later results, since reflexivity is an algebraic reformulation of paracompactness of smooth manifolds.)

This talk is part of the Synthetic Differential Geometry Seminar 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