5 citations · 10 across the 3 of their papers we have counts for
4 papers
The -fold reduced bar construction
Sonja Lj. Čukić, Zoran Petrić
This paper is about a correspondence between monoidal structures in categories and -fold loop spaces. We develop a new syntactical technique whose role is to substitute the cohe…
Simplicial shellable spheres via combinatorial blowups
Sonja Lj. Cukic, Emanuele Delucchi
The construction of the Bier sphere Bier(K) for a simplicial complex K is due to Bier. Björner, Paffenholz, Sjöstrand and Ziegler generalize this construction to obtain a Bier pose…
Higher connectivity of graph coloring complexes
Sonja Lj. Cukic, Dmitry N. Kozlov
The main result of this paper is a proof of the following conjecture of Babson & Kozlov: Theorem. Let G be a graph of maximal valency d, then the complex Hom(G,K_n) is at least (n-…
The homotopy type of complexes of graph homomorphisms between cycles
Sonja Lj. Cukic, Dmitry N. Kozlov
In this paper we study the homotopy type of $\Hom(C_m,C_n)$, where is the cyclic graph with vertices. We enumerate connected components of $\Hom(C_m,C_n)$ and show that e…