activity
19982026
most citedDimension functions for spherical fibrations

6 citations · 15 across the 28 of their papers we have counts for

collaborators

34 papers

math.AT2026

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…

math.AT2026

Worst-Case Examples for the Computation of Persistent Homology

Uzay Çetin, 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…

math.AT2025

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…

math.AT2025

Thomason cohomology and Quillen's Theorem A

Mehmet Kirtisoglu, Ergun Yalcin

Given a functor between two small categories, there is a homotopy equivalence where is…

math.AT2023

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…

math.AT2022

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…