turkmath.org

In this talk, we will introduce the contiguity distance which is first defined by Macias-Virgos and Mosquera-Lois in [1]. We will introduce its relation with the discrete topological complexity and simplicial LS category. Moreover, we will talk about how the contiguity distance behaves under the compositions of simplicial maps and under the barycentric subdivisions; and mention more properties such as the difference between contiguity distance of simplicial maps and homotopic distance of their geometric realisations. 

This is a joint work with Mehmetcik Pamuk and Tane Vergili.

[1] E. Macias-Virgos, D. Mosquera-Lois, Homotopic distance between maps, Math.Proc. Cambridge Philos. Soc. 172 (1) (2021), 73–93.

Link to the seminar is:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1667198455482?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d