COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

## On the binary linear orderingAdd to your list(s) Download to your calendar using vCal - Thilo Weinert (Udine)
- Wednesday 22 May 2024, 16:00-17:00
- Centre for Mathematical Sciences, MR14.
If you have a question about this talk, please contact Benedikt Loewe. Let us call an order-type “untranscendable” if it cannot be embedded into a product of two smaller ones (!). Ordinals are untranscendable if and only if they are multiplicatively indecomposable. Moreover untranscendability almost implies additive indecomposability, that is to say, there is but one linear order type which is additively decomposable yet untranscendable. However, using the Axiom of Choice one can prove that there is a different untranscendable order type which at least fails to be strongly indecomposable, the order type of the real number continuum. Moreover, we can show that there is nothing more among the sigma-scattered linear order types and consistently neither among the Aronszajn lines. Towards the end of the talk I am going to sketch some open problems, both in the presence and the absence of the Axiom of Choice. This is joint ongoing work with Garrett Ervin and Alberto Marcone and builds on previous work by Barbosa, Galvin, Hausdorff, Laver, Ranero, and others. This talk is part of the Set Theory Seminar series. ## This talk is included in these lists:- All CMS events
- CMS Events
- Centre for Mathematical Sciences, MR14
- DPMMS info aggregator
- Hanchen DaDaDash
- Interested Talks
- bld31
Note that ex-directory lists are not shown. |
## Other listsThe obesity epidemic: Discussing the global health crisis Cambridge Initiative For Musculoskeletal Tissue Engineering Inaugural Meeting Inspirational Women in Engineering Talk Series## Other talksMK-7602: A Promising Breakthrough in Antimalarial Invention from an Efficient Academia/Industry Collaboration Crick Lecture 2024: TBC CLT for a class of random walks in dynamic random environments Spontaneous Transitions in Fish and Stars Nucleation and Hyperuniformity in Active Phase Separation Recycling solutions of Helmholtz equation using Wiener-Hopf technique |