5 papers
Sequential -contiguity distance
Nilay Ekiz Yazici, Nursultan Kuanyshov, Ayse Borat
In this paper, we introduce the notion of sequential -contiguity distance for finitely many simplicial maps as a higher analogue of contiguity distance. This invariant generaliz…
m-Contiguity Distance
Nilay Ekiz Yazici, Nursultan Kuanyshov, Ayse Borat
In this paper, we systematically develop the -contiguity distance between simplicial maps as a discrete approximation framework for homotopical complexity in the category of sim…
(Injective) facet-complexity between simplicial complexes
Cesar A. Ipanaque Zapata, Ayse Borat
We present the notion of facet-complexity, , for two simplicial complexes and , along with basic results for this numerica…
Higher Contiguity Distance
Nilay Ekiz Yazici, Ayse Borat
In this paper, we introduce the higher analogues of contiguity distance and its relations with simplicial Lusternik-Schnirelmann category and discrete topological complexity. Also…
Higher Analogues of Discrete Topological Complexity
Hilal Alabay, Ayse Borat, Esra Cihangirli +1
In this paper, we introduce the n-th discrete topological complexity and study its properties such as its relation with simplicial Lusternik-Schnirelmann category and how the highe…