A guessing principle from a Souslin tree, with applications to topology

DOI10.1016/j.topol.2022.108296OpenAlexW3155565424MaRDI QIDQ2105058

Assaf Rinot, Roy Shalev

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2104.09150

zbMATH Keywords

Dowker spaceclubSouslin linealmost disjointOstaszewski space

Mathematics Subject Classification ID

Consistency and independence results (03E35) Counterexamples in general topology (54G20) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65)

Cites Work

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• Normality in products with a countable factor
• One-dimensional locally connected S-spaces
• Can you take Solovay's inaccessible away?
• Partitioning pairs of countable ordinals
• Small Dowker spaces
• Whitehead groups may be not free, even assuming CH. I
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• A compact homogeneous S-space.
• L-spaces and S-spaces in \(P(\omega)\)
• The Souslin problem
• HFD and HFC type spaces, with applications
• On the ideal \(J[\kappa\)]
• A forcing axiom for a non-special Aronszajn tree
• Higher Souslin trees and the GCH, revisited
• A microscopic approach to Souslin-tree constructions. I.
• A normal hereditarily separable non-Lindelöf space
• A microscopic approach to Souslin-tree construction. II
• REDUCED POWERS OF SOUSLIN TREES
• P-ideal dichotomy and a strong form of the Suslin Hypothesis
• Forcing Positive Partition Relations
• Diamonds
• Souslin Properties and Tree Topologies
• Two More Hereditarily Separable Non-Lindelöf Spaces
• On Countably Compact, Perfectly Normal Spaces
• Countably Compact Spaces and Martin's Axiom
• On full Suslin trees
• CH with no Ostaszewski spaces
• Large Cardinals and Small Dowker Spaces
• A ZFC Dowker space in ℵ_{𝜔+1}: An application of pcf theory to topology
• A Forcing Axiom Deciding the Generalized Souslin Hypothesis
• Uniformization and anti-uniformization properties of ladder systems
• A small Dowker space in ZFC
• Souslin trees at successors of regular cardinals
• A normal space X for which X×I is not normal
• The fine structure of the constructible hierarchy
• On Countably Paracompact Spaces
• Almost Free Groups
• Countable Paracompactness and Souslin's Problem

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