Hall 123

Absence of Strøm-Hurewicz model structure on the category of graphs

Shuchita Goyal

IIT Bombay

In this talk, we will first examine the notions of paths,
products, double mapping cylinder object, etc in the category of graphs
similar to those in the category of topological spaces. We will show that
the double mapping cylinder in graphs defined analogous to the one in
spaces is not a correct candidate, and with respect to this notion of
double mapping cylinder, there cannot exist a Strøm-Hurewicz model
structure on the category of graphs.