\(\mathcal P(\mathbb R)\), ordered by homeomorphic embeddability, does not represent all posets of cardinality \(2^{\mathfrak c} \)

DOI10.1016/J.TOPOL.2009.03.014zbMath1167.03034OpenAlexW2012405073MaRDI QIDQ1030202

Aisling E. McCluskey, Robin W. Knight

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.03.014

zbMATH Keywords

independenceconsistencyforcingpartial orderordering by homeomorphic embeddability

Mathematics Subject Classification ID

Partial orders, general (06A06) Consistency and independence results (03E35) Topological representations of algebraic systems (54H10)

Related Items (1)

THE TUKEY ORDER ON COMPACT SUBSETS OF SEPARABLE METRIC SPACES

Cites Work

• Unnamed Item
• Set theory. An introduction to independence proofs
• Realizing quasiordered sets by subspaces of `continuum-like' spaces
• Representing set-inclusion by embeddability (among the subspaces of the real line)
• On chains and posets within the power set of a continuum
• Representing quasi-orders by embeddability ordering of families of topological spaces

This page was built for publication: \(\mathcal P(\mathbb R)\), ordered by homeomorphic embeddability, does not represent all posets of cardinality \(2^{\mathfrak c} \)