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On the continuous gradability of the cut-point orders of \(\mathbb{R} \)-trees

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Publication:2065114
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DOI10.1016/j.topol.2021.107937OpenAlexW4200020593MaRDI QIDQ2065114

Sam Adam-Day

Publication date: 7 January 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.14718


zbMATH Keywords

Martin's axiomseparablecountable chain conditionindependence resultSuslin tree\(\mathbb{R} \)-treebranchwise-real tree ordercontinuous gradingroad space


Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Other combinatorial set theory (03E05)




Cites Work

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  • A topological characterization of the underlying spaces of complete R-trees
  • The valuative tree
  • On families of mutually exclusive sets
  • Topologies on pseudo-trees and applications
  • Degrees of rigidity for Souslin trees
  • Λ-trees and their applications
  • Universal Spaces for R-Trees
  • Treelike structures arising from continua and convergence groups
  • Set Theory
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