PRODUCTS OF LINDELÖF SPACES WITH POINTS Gδ

Toshimichi Usuba

PRODUCTS OF LINDELÖF SPACES WITH POINTS G_δ

School of Fundamental Science and Engineering

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

Abstract

We show that if CH holds and either (i) there exists an ω₁-Kurepa tree, or (ii) □(ω₂) holds, then there are regular T₁ Lindelöf spaces X₀ and X₁ with points G_δ such that the extent of X₀ × X₁ is strictly greater than 2^ω.

Original language	English
Journal	Unknown Journal
Publication status	Published - 2018 Mar 16

Keywords

Aronszajn tree
Kurepa tree
Lindelöf space
Points G
Square principle

ASJC Scopus subject areas

General

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@article{4c690579c08a44ecbfff0bb1650b9940,

title = "PRODUCTS OF LINDEL{\"O}F SPACES WITH POINTS Gδ",

abstract = "We show that if CH holds and either (i) there exists an ω1-Kurepa tree, or (ii) □(ω2) holds, then there are regular T1 Lindel{\"o}f spaces X0 and X1 with points Gδ such that the extent of X0 × X1 is strictly greater than 2ω.",

keywords = "Aronszajn tree, Kurepa tree, Lindel{\"o}f space, Points G, Square principle",

author = "Toshimichi Usuba",

year = "2018",

month = mar,

day = "16",

language = "English",

journal = "Nuclear Physics A",

issn = "0375-9474",

publisher = "Elsevier",

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AU - Usuba, Toshimichi

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N2 - We show that if CH holds and either (i) there exists an ω1-Kurepa tree, or (ii) □(ω2) holds, then there are regular T1 Lindelöf spaces X0 and X1 with points Gδ such that the extent of X0 × X1 is strictly greater than 2ω.

AB - We show that if CH holds and either (i) there exists an ω1-Kurepa tree, or (ii) □(ω2) holds, then there are regular T1 Lindelöf spaces X0 and X1 with points Gδ such that the extent of X0 × X1 is strictly greater than 2ω.

KW - Aronszajn tree

KW - Kurepa tree

KW - Lindelöf space

KW - Points G

KW - Square principle

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JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

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