How rigid the finite ultrametric spaces can be?

DOI10.1007/s11784-016-0329-5zbMath1378.54028arXiv1511.08133OpenAlexW2962813737MaRDI QIDQ2409470

Hanns-Martin Teichert, Aleksey A. Dovgoshey, Evgenii A. Petrov

Publication date: 11 October 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08133

zbMATH Keywords

fixed pointfinite ultrametric spacerigidness

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10)

Related Items (14)

Weak similarities of finite ultrametric and semimetric spaces ⋮ Minimum spanning paths and Hausdorff distance in finite ultrametric spaces ⋮ Labeled trees generating complete, compact, and discrete ultrametric spaces ⋮ Uniqueness of best proximity pairs and rigidity of semimetric spaces ⋮ Bipartite graphs and best proximity pairs ⋮ Hereditary properties of finite ultrametric spaces ⋮ On ultrametric-preserving functions ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Finite ultrametric balls ⋮ The range of ultrametrics, compactness, and separability ⋮ On some extremal properties of finite ultrametric spaces ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces ⋮ From isomorphic rooted trees to isometric ultrametric spaces ⋮ Properties and morphisms of finite ultrametric spaces and their representing trees

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