\(\omega^*\) has (almost) no continuous images

DOI10.1007/BF02775024zbMath0931.54024OpenAlexW2161418146MaRDI QIDQ1288486

Alan Dow, Klaas Pieter Hart

Publication date: 22 February 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02775024

zbMATH Keywords

continuous imageČech-Stone remainderParovičenko spaceOpen Colouring Axiom

Mathematics Subject Classification ID

Remainders in general topology (54D40) Consistency and independence results in general topology (54A35)

Related Items (10)

Rigidity conjectures for continuous quotients ⋮ RIGIDITY OF CONTINUOUS QUOTIENTS ⋮ Set theoretical aspects of the Banach space \(l_{\infty}\)/\(c_{0}\) ⋮ On subcontinua and continuous images of \(\beta \mathbb{R} \setminus \mathbb{R}\) ⋮ Homeomorphisms of Čech–Stone remainders: the zero-dimensional case ⋮ REDUCED PRODUCTS OF METRIC STRUCTURES: A METRIC FEFERMAN–VAUGHT THEOREM ⋮ A separable non-remainder of ℍ ⋮ In memoriam: Petr Simon (1944--2018) ⋮ Forcing axioms and coronas of C∗-algebras ⋮ An isometrically universal Banach space induced by a non-universal Boolean algebra

Cites Work

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• Proper forcing
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• Partition Problems in Topology
• Parovicenko's Characterization of βω- ω Implies CH
• Definable Automorphisms of P(ω)/fin
• Extension of continuous functions in 𝛽𝐍

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