Splitting number

Tomek Bartoszyński

doi:10.1090/s0002-9939-97-03758-1

Splitting number

Tomek Bartoszyński

Mathematics Department

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

1 Scopus citations

Abstract

We show that it is consistent with ZFC that every uncountable set can be continuously mapped onto a splitting family.

Original language	English
Pages (from-to)	2141-2145
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9939-97-03758-1
State	Published - 1997

Keywords

Cardinal invariants
Splitting family

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10.1090/s0002-9939-97-03758-1

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title = "Splitting number",

abstract = "We show that it is consistent with ZFC that every uncountable set can be continuously mapped onto a splitting family.",

keywords = "Cardinal invariants, Splitting family",

author = "Tomek Bartoszy{\'n}ski",

year = "1997",

doi = "10.1090/s0002-9939-97-03758-1",

language = "English",

volume = "125",

pages = "2141--2145",

number = "7",

}

TY - JOUR

T1 - Splitting number

AU - Bartoszyński, Tomek

PY - 1997

Y1 - 1997

N2 - We show that it is consistent with ZFC that every uncountable set can be continuously mapped onto a splitting family.

AB - We show that it is consistent with ZFC that every uncountable set can be continuously mapped onto a splitting family.

KW - Cardinal invariants

KW - Splitting family

UR - https://www.scopus.com/pages/publications/15944393687

U2 - 10.1090/s0002-9939-97-03758-1

DO - 10.1090/s0002-9939-97-03758-1

M3 - Article

AN - SCOPUS:15944393687

SN - 0002-9939

VL - 125

SP - 2141

EP - 2145

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

Splitting number

Abstract

Keywords

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