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<p>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.</p>

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Higher contiguity distance

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月17日

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  • Nilay Ekiz Yazici,
  • Ayşe Borat

摘要

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.