Pseudoradial spaces and copies of \(\omega_1 + 1\)

DOI10.1016/j.topol.2020.107070zbMath1440.54002arXiv1904.04416OpenAlexW2935898231WikidataQ126347880 ScholiaQ126347880MaRDI QIDQ2295663

Angelo Bella, Rodrigo Hernández-Gutiérrez, Alan Dow

Publication date: 14 February 2020

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

Full work available at URL: https://arxiv.org/abs/1904.04416

zbMATH Keywords

Martin's axiomproper forcing axiompseudoradial space

Mathematics Subject Classification ID

Compactness (54D30) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Counterexamples in general topology (54G20) Spectra in general topology (54B35) Consistency and independence results in general topology (54A35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efimov's problem and Boolean algebras
• Compact {C}-closed spaces need not be sequential
• Sequential compactness versus pseudo-radiality in compact spaces
• Perfect pre-images of \(\omega _ 1\) and the PFA
• Minimally generated Boolean algebras
• On perfect pre-images of \(\omega _{1}\)
• Countable tightness and proper forcing
• Forcing minimal extensions of Boolean algebras
• Strongly Pseudoradial Spaces
• First countable, countably compact spaces and the continuum hypothesis

This page was built for publication: Pseudoradial spaces and copies of \(\omega_1 + 1\)