Now showing items 1-5 of 5

    • Cobordism calculations with Adams and James spectral sequences 

      Erdal, Mehmet Akif (Bilkent University, 2010)
      Let ξn : Z/p → U(n) be an n-dimensional faithful complex representation of Z/p and in : U(n)→O(2n) be inclusion for n ≥ 1. Then the compositions in ◦ ξn and jn ◦ in ◦ ξn induce fibrations on BZ/p where jn : O(2n) → O(2n ...
    • A model structure via orbit spaces for equivariant homotopy 

      Erdal, Mehmet Akif; Güçlükan İlhan, Aslı (Springer, 2019-06-26)
      Let G be discrete group and FF be a collection of subgroups of G. We show that there exists a left induced model structure on the category of right G-simplicial sets, in which the weak equivalences and cofibrations are the ...
    • Monoid actions, their categorification and applications 

      Erdal, Mehmet Akif (Bilkent University, 2016-12)
      We study actions of monoids and monoidal categories, and their relations with (co)homology theories. We start by discussing actions of monoids via bi-actions. We show that there is a well-defined functorial reverse action ...
    • On smooth manifolds with the homotopy type of a homology sphere 

      Erdal, Mehmet Akif (Elsevier, 2018)
      In this paper we study M(X), the set of diffeomorphism classes of smooth manifolds with the simple homotopy type of X, via a map Ψ from M(X) into the quotient of K(X)=[X,BSO] by the action of the group of homotopy classes ...
    • Semigroup actions on sets and the burnside ring 

      Erdal, Mehmet Akif; Ünlü, Özgün (Springer Science, 2018)
      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 endofunctors. In the case of groups these ...