Investigates higher contiguity distance, its connection to topological concepts, and implications for geometric structures.
In this paper, we introduce higher analogues of the contiguity distance and its relations with the simplicial Lusternik–Schnirelmann category and discrete topological complexity. We also investigate the effect of barycentric subdivision on higher contiguity distance. Finally, we establish a connection between higher contiguity distance and higher homotopic distance via geometric realisation.
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Yazici et al. (2026) studied this question.
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