4 papers
Simplicial lists in operad theory I
Redi Haderi, Özgün Ünlü
We define a category whose objects are sets and morphisms are mappings which assign to an element in the domain an ordered sequence (list) of elements in the codoma…
Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices
Berrin Şentürk, Özgün Ünlü
Let be an algebraically closed field and the polynomial algebra in variables with coefficients in . In case the characteristic of is , Carlsson conjectured th…
Continuous Sensitivity and Reversibility
Aslı Güçlükan İlhan, Özgün Ünlü
Let be a positive integer and a differentiable function from a convex subset of the Euclidean space to a smooth manifold. We define an invariant of v…
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…