Ergün Yalçın

collaborators

5 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 $G$ -CW-complexes which are ho…

math.AT2026

Thomason cohomology and Quillen's Theorem A

Mehmet Kirtisoglu, Ergun Yalcin

Given a functor $I ¨ : C \to D$ between two small categories, there is a homotopy equivalence $I^º : h oco l i m_{D} N (I ¨ / -) \to N C$ where $N(Ï/-)…

math.AT2026

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…

math.AT2025

Free actions on products of real projective spaces

Ergun Yalcin

We prove that if $G = (Z /2)^{r}$ acts freely and cellularly on a finite-dimensional CW-complex $X$ homotopy equivalent to $\mathbb{R}P ^{n_1} \times \cdots \times \mathbb{R} P…

math.AT2025

Steenrod closed parameter ideals in the mod- $2$ cohomology of $A_{4}$ and $S O (3)$

Henrik RÃ¼ping, Marc Stephan, Ergun Yalcin

In this paper, we classify the parameter ideals in $H^{*} (B A_{4}; F_{2})$ and in the Dickson algebra $H^{*} (B S O (3); F_{2})$ that are closed under Steenrod operations. Consequ…

Equivariant CW-complexes homotopy equivalent to spheres: a survey

Thomason cohomology and Quillen's Theorem A

Worst-Case Examples for the Computation of Persistent Homology

Free actions on products of real projective spaces

Steenrod closed parameter ideals in the mod-2 cohomology of A4​ and SO(3)

Steenrod closed parameter ideals in the mod- $2$ cohomology of $A_{4}$ and $S O (3)$