Tiltan and Superclub

Shimon Garti; Saharon Shelah

doi:10.5802/crmath.434

Tiltan and Superclub

Shimon Garti, Saharon Shelah

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

2 Scopus citations

Abstract

We show that one can force superclub with an arbitrarily large value of cov(M). We prove that the club principle is consistent with an arbitrarily large value of add(M). We also prove that if κ is regular then superclub at κ⁺ implies Q(κ⁺,κ⁺,κ⁺).

Original language	English
Pages (from-to)	853-861
Number of pages	9
Journal	Comptes Rendus Mathematique
Volume	361
Issue number	G5
DOIs	https://doi.org/10.5802/crmath.434
State	Published - 1 Jan 2023
Externally published	Yes

Keywords

club (tiltan)
infinite graphs
invariants of measure and category
square brackets
Superclub

ASJC Scopus subject areas

General Mathematics

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10.5802/crmath.434

Cite this

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title = "Tiltan and Superclub",

abstract = "We show that one can force superclub with an arbitrarily large value of cov(M). We prove that the club principle is consistent with an arbitrarily large value of add(M). We also prove that if κ is regular then superclub at κ+ implies Q(κ+,κ+,κ+).",

keywords = "club (tiltan), infinite graphs, invariants of measure and category, square brackets, Superclub",

author = "Shimon Garti and Saharon Shelah",

year = "2023",

month = jan,

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doi = "10.5802/crmath.434",

language = "English",

volume = "361",

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AU - Shelah, Saharon

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AB - We show that one can force superclub with an arbitrarily large value of cov(M). We prove that the club principle is consistent with an arbitrarily large value of add(M). We also prove that if κ is regular then superclub at κ+ implies Q(κ+,κ+,κ+).

KW - club (tiltan)

KW - infinite graphs

KW - invariants of measure and category

KW - square brackets

KW - Superclub

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U2 - 10.5802/crmath.434

DO - 10.5802/crmath.434

M3 - Article

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JF - Comptes Rendus Mathematique

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Tiltan and Superclub

Abstract

Keywords

ASJC Scopus subject areas

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