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Título
Tilings of the Infinite p-ary Tree and Cantor Homeomorphisms
Autor(es)
Materia
Trees
Cantor spaces
Tilings
Monoid of words
p-adic integers
Clasificación UNESCO
12 Matemáticas
1204 Geometría
1201.01 Geometría Algebraica
1210 Topología
Fecha de publicación
2021
Editor
Springerlink
Citación
Cobos, A., Navas, L.M. (2021). Tilings of the Infinite p-ary Tree and Cantor Homeomorphisms. Mediterr. J. Math. 18, 226 . https://doi.org/10.1007/s00009-021-01854-x
Resumen
[EN] We define a notion of tiling of the full infinite p-ary tree, establishing a series of equivalent criteria for a subtree to be a tile, each of a different nature; namely, geometric, algebraic, graph-theoretic, order-theoretic, and topological. We show how these results can be applied in a straightforward and constructive manner to define homeomorphisms between two given spaces of p-adic integers, Zp and Zq, endowed with their corresponding standard non-archimedean metric topologies.
URI
ISSN
1660-5446
DOI
10.1007/s00009-021-01854-x
Versión del editor
Colecciones
Patrocinador
Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE
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