6 citations · 11 across the 6 of their papers we have counts for
6 papers
Identifying domatic partitions via graph dynamical systems
Mehmet Akif Erdal
For a graph a set of vertices is called a dominating set if every vertex in is adjacent to a vertex in A domatic--partition of $G…
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 -category, and applications in stable homotopy theory. Given a monoidal category and an $…
A model structure via orbit spaces for equivariant homotopy
Mehmet Akif Erdal, Aslı Güçlükan İlhan
For a given group and a collection of subgroups of , we show that there exist a left induced model structure on the category of right -simplicial sets, in wh…
Homotopy theory of monoid actions via group actions and an Elmendorf style theorem
Mehmet Akif Erdal
Let be a monoid and be the group completion functor from monoids to groups. Given a collection of submonoids of and for each…
On smooth manifolds with homotopy type of a homology sphere
Mehmet Akif Erdal
In this paper we study , the set of diffeomorphism classes of smooth manifolds with the simple homotopy type of , via a map from into the quot…
Semigroup actions on sets and the Burnside ring
Mehmet Akif Erdal, Özgün Ünlü
In this paper we discuss some enlargements of the category of sets with semigroup actions and equivariant functions. We show that these enlarged categories possess two idempotent e…