5 papers
Contiguity Distance between Simplicial Maps
Ayse Borat, Mehmetcik Pamuk, Tane Vergili
We study properties of contiguity distance between simplicial maps. In particular, we show that simplicial versions of -category and topological complexity are particular cases…
Topological spaces induced by homotopic distance
Tane Vergili, Ayse Borat
Homotopic distance $\D$ as introduced in \cite{MVML} can be realized as a pseudometric on . In this paper, we study the topology induced by the pseudometric $\D$…
Simplicial Distance
Ayse Borat
In this paper we will introduce and give topological properties of a new concept named simplicial distance which is the simplicial analog of the homotopic distance (in the sense of…
Higher Homotopic Distance
Ayse Borat, Tane Vergili
The concept of homotopic distance and its higher analog are introduced in [6]. In this paper we introduce some important properties of higher homotopic distance, investigate the co…
Directed topological complexity of spheres
Ayse Borat, Mark Grant
We show that the directed topological complexity (as defined by E. Goubault) of the directed -sphere is , for all .