LUW May 20: Adam Mata, Infinite convex geometries with lower semi-modularity and join semi-distributivity

[jean-yves beziau]

The next session of the Logica Universalis Webinar will take place Wednesday May 20 at 4pm CET (Paris, Geneva, Warsaw)

Speaker: Adam Mata,  Warsaw University of Technology, Poland
Title: Infinite convex geometries with lower semi-modularity and join semi-distributivity
Abstract: We construct a class K of infinite convex geometries by taking unions of chains of finite convex geometries, and prove that every member of K is both lower semi-modular and join semi-distributive. These properties, while automatic in the finite case, can fail for infinite convex geometries in general. We also show that not all infinite convex geometries arise via this construction, so that K is a proper subclass of the class of all infinite convex geometries.

Associate organization: Faculty of Mathematics,  Warsaw University of Technology
presented by  Anna Zamojska-Dzienio 

Chair: Andrei Rodin, member of the editorial board of Logica Universalis

Everybody is welcome to join, register here:

https://cassyni.com/s/logica-universalis

Jean-Yves Beziau, Editor-in-Chief Logica Universalis

Organizer of the Logica Universalis Webinar

https://philpeople.org/profiles/jean-yves-beziau