Higher contiguity distance

Abstract 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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Publication Details

Journal
Journal of Fixed Point Theory and Applications
Published
2026-03-17
DOI
https://doi.org/10.1007/s11784-026-01293-9
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Higher contiguity distance

Ayşe Borat, Nilay Ekiz Yazici
Journal of Fixed Point Theory and Applications
Homotopy and Cohomology in Algebraic Topology
article

Higher contiguity distance

Ayşe Borat, Nilay Ekiz Yazici
article en

Abstract

Abstract 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.

Journal of Fixed Point Theory and ApplicationsVol. 28(2)
Bursa Technical University (TR)
Reduced inequalities
Openalex Percentile: Top 16%
Homotopy and Cohomology in Algebraic Topology
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Higher contiguity distance — Ayşe Borat, Nilay Ekiz Yazici · Journal of Fixed Point Theory and Applications (2026) | TGRS Research Map | TGRS