Trees and ultrametric spaces: a categorical equivalence

By Bruce Hughes. 2004

131 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/708bf1597e29a66f9877cb7857a0a637b8b5b07c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Alexander Grigorʼyan
2. Mark V. Lawson
3. C. Pittet

In Mathematical Physics

1. Alexander Grigorʼyan
2. C. Pittet
3. A. Bendikov
4. Mark V. Lawson
5. Wolfgang Woess
6. Martin T. Barlow
7. Jiaxin Hu
8. L. Saloff‐Coste

In Statistical and Nonlinear Physics

1. Alexander Grigorʼyan
2. Mark V. Lawson

Citations in the corpus

• A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY (2009, methodology): “The groupoids studied in [8, 9] are boolean when restricted to the case where the ultrametric spaces in question are compact.”
• Isotropic Markov semigroups on ultra-metric spaces (2013, background): “ove construction, the correspondence between compact ultra-metric spaces without isolated points (perfect ultrametric spaces) and locally finite rooted trees with forward degrees ≥ 2 is bijective (cf. [33]). It is well known that any ultra-metric space Xwhich is both compact and perfect is homeomorph”