Closed copies of N in R<sup>ω<sub>1</sub></sup>

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Closed copies of N in R^ω₁

Journal Article (2025)

Author(s)

Alan Dow (University of North Carolina at Charlotte)

Klaas Pieter Hart (TU Delft - Analysis)

Jan van Mill (Korteweg-de Vries Institute for Mathematics)

Hans Vermeer (TU Delft - Analysis)

C-embedding Aronszajn line Aronszajn tree Closed copy of N Compactification Powers of R Realcompactness

DOI related publication

https://doi.org/10.1016/j.topol.2025.109514 Final published version

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https://resolver.tudelft.nl/uuid:e2b02f17-8aed-4bd4-8389-83137f8903b6

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Publication Year

2025

Language

English

Journal title

Topology and its Applications

Volume number

379

Article number

109514

Downloads counter

21

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Abstract

We investigate closed copies of N in powers of R with respect to C^⁎- and C-embedding. We show that R^ω₁ contains closed copies of N that are not C^⁎-embedded.

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Closed copies of N in Rω1

Abstract

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Closed copies of N in R^ω₁