16 citations · 23 across the 5 of their papers we have counts for
6 papers
Group actions of on contractible -complexes
Iván Sadofschi Costa
We prove that every action of on a finite -dimensional contractible complex has a fixed point.
Acyclic -dimensional complexes and Quillen's conjecture
Kevin I. Piterman, Iván Sadofschi Costa, Antonio Viruel
Let be a finite group and be the poset of nontrivial elementary abelian -subgroups of . Quillen conjectured that is nontrivial if $\mathcal{A}…
The complex of partial bases of a free group
Iván Sadofschi Costa
We prove that the simplicial complex whose simplices are the nonempty partial bases of is homotopy equivalent to a wedge of -spheres. Moreover, we show that i…
On a generalization of the seating couples problem
Daniel Kohen, Iván Sadofschi Costa
We prove a conjecture of Adamaszek generalizing the seating couples problem to the case of seats. Concretely, we prove that given a positive integer and $d_1,\ldots,d_n\in…
Presentation complexes with the fixed point property
Iván Sadofschi Costa
We prove that there exists a compact two-dimensional polyhedron with the fixed point property and even Euler characteristic. This answers a question posed by R.H. Bing in 1969. We…
On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
Jonathan Ariel Barmak, Iván Sadofschi Costa
In 1969 R.H. Bing asked the following question: Is there a compact two-dimensional polyhedron with the fixed point property which has even Euler characteristic? In this paper we pr…