3 papers
math.AT2026
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…
math.AT2026
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…
math.CO2025
(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…