S-spaces and large continuum

Alan Dow; Saharon Shelah

doi:10.1016/j.topol.2023.108526

S-spaces and large continuum

Alan Dow^*, Saharon Shelah

^*Corresponding author for this work

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

Abstract

We prove that it is consistent with large values of the continuum that there are no S-spaces. We also show that we can also have that compact separable spaces of countable tightness have cardinality at most the continuum.

Original language	English
Article number	108526
Journal	Topology and its Applications
Volume	333
DOIs	https://doi.org/10.1016/j.topol.2023.108526
State	Published - 15 Jun 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

Forcing
S-spaces

Access to Document

10.1016/j.topol.2023.108526

Cite this

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month = jun,

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AU - Shelah, Saharon

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N2 - We prove that it is consistent with large values of the continuum that there are no S-spaces. We also show that we can also have that compact separable spaces of countable tightness have cardinality at most the continuum.

AB - We prove that it is consistent with large values of the continuum that there are no S-spaces. We also show that we can also have that compact separable spaces of countable tightness have cardinality at most the continuum.

KW - Forcing

KW - S-spaces

UR - https://www.scopus.com/pages/publications/85153302340

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DO - 10.1016/j.topol.2023.108526

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AN - SCOPUS:85153302340

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VL - 333

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 108526

ER -

S-spaces and large continuum

Abstract

Bibliographical note

Keywords

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Cite this