A new small Dowker space

Assaf Rinot; Roy Shalev; Stevo Todorcevic

doi:10.1007/s10998-023-00541-6

A new small Dowker space

Assaf Rinot, Roy Shalev, Stevo Todorcevic

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that a strong instance of the guessing principle ♣AD on the first uncountable cardinal follows from either the principle [InlineEquation not available: see fulltext.], or the principle ♢ (b) , or the existence of a Luzin set. In particular, any of the above hypotheses entails the existence of a Dowker space of size ℵ₁ .

Original language	English
Journal	Periodica Mathematica Hungarica
DOIs	https://doi.org/10.1007/s10998-023-00541-6
State	Accepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2023, Akadémiai Kiadó, Budapest, Hungary.

Keywords

Club AD
Dowker space
Luzin set
Stick
Strongly unbounded coloring

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10.1007/s10998-023-00541-6

Cite this

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KW - Strongly unbounded coloring

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A new small Dowker space

Abstract

Bibliographical note

Keywords

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