6 papers · 1 filter
Equivariant CW-complexes homotopy equivalent to spheres: a survey
Ian Hambleton, Ergun Yalcin
This is a survey about finite group actions on CW-complexes and related topics, primarily based on our joint work. The main applications are to finite -CW-complexes which are ho…
Thomason cohomology and Quillen's Theorem A
Mehmet Kirtisoglu, Ergun Yalcin
Given a functor between two small categories, there is a homotopy equivalence where $N(Ï/-)…
Worst-Case Examples for the Computation of Persistent Homology
Uzay Ãetin, Ergun Yalcin
We construct worst-case examples for the standard reduction algorithm for computing persistent homology. Our constructions are similar to the worst-case examples introduced by Moro…
Free actions on products of real projective spaces
Ergun Yalcin
We prove that if acts freely and cellularly on a finite-dimensional CW-complex homotopy equivalent to $\mathbb{R}P ^{n_1} \times \cdots \times \mathbb{R} P…
Steenrod closed parameter ideals in the mod- cohomology of and
Henrik Rüping, Marc Stephan, Ergun Yalcin
In this paper, we classify the parameter ideals in and in the Dickson algebra that are closed under Steenrod operations. Consequ…
LHS-spectral sequences for regular extensions of categories
Ergun Yalcin
In [F. Xu, On the cohomology rings of small categories, J. Pure Appl. Algebra 212 (2008), 2555-2569], Xu constructs a LHS-spectral sequence for target regular extensions of small c…