M. Erdal

activity

20162022

collaborators

4 papers

math.CO2022

Identifying domatic partitions via graph dynamical systems

Mehmet Akif Erdal

For a graph $G = (V, E),$ a set of vertices $D \subseteq V$ is called a dominating set if every vertex in $V \ D$ is adjacent to a vertex in $D .$ A domatic- $2$ -partition of $G…

math.CT2021

Stabilization and costabilization with respect to an action of a monoidal category

Mehmet Akif Erdal, Özgün Ünlü

We study actions of monoidal categories on objects in a suitably enriched $2$ -category, and applications in stable homotopy theory. Given a monoidal category $I$ and an $…

math.AT2019

A model structure via orbit spaces for equivariant homotopy

Mehmet Akif Erdal, Aslı Güçlükan İlhan

For a given group $G$ and a collection of subgroups $F$ of $G$ , we show that there exist a left induced model structure on the category of right $G$ -simplicial sets, in wh…

math.CT2016

Homotopy theory of monoid actions via group actions and an Elmendorf style theorem

Mehmet Akif Erdal

Let $M$ be a monoid and $G : Mon \to Grp$ be the group completion functor from monoids to groups. Given a collection $X$ of submonoids of $M$ and for each…