Topological Partition Relations of the Form ω*→(Y)12

W. W. COMFORT; AKIO KATO; SAHARON SHELAH

doi:10.1111/j.1749-6632.1993.tb52510.x

Topological Partition Relations of the Form ω*→(Y)¹₂

W. W. COMFORT^*
, AKIO KATO
, SAHARON SHELAH

^*Corresponding author for this work

Einstein Institute of Mathematics

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

6 Scopus citations

Abstract

ABSTRACT. THEOREM. The topological partition relation ω*→ (Y)¹₂ (a) Fails for every space Y with |Y| |Mg 2^c; (b) Holds for Y discrete if and only if |Y| |Ml c; (c) Holds for certain nondiscrete P‐spaces Y; (d) Fails for Y=ω Imu {p} with p∉ω*; (e) Fails for Y infinite and countably compact.

Original language	English
Pages (from-to)	70-79
Number of pages	10
Journal	Annals of the New York Academy of Sciences
Volume	704
Issue number	1
DOIs	https://doi.org/10.1111/j.1749-6632.1993.tb52510.x
State	Published - Dec 1993

Keywords

P‐space
Stone‐Cech remainder
Topological Ramsey theory
countably compact space
topological partition relation

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10.1111/j.1749-6632.1993.tb52510.x

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abstract = "ABSTRACT. THEOREM. The topological partition relation ω*→ (Y)12 (a) Fails for every space Y with |Y| |Mg 2c; (b) Holds for Y discrete if and only if |Y| |Ml c; (c) Holds for certain nondiscrete P‐spaces Y; (d) Fails for Y=ω Imu \{p\} with p∉ω*; (e) Fails for Y infinite and countably compact.",

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author = "COMFORT, \{W. W.\} and AKIO KATO and SAHARON SHELAH",

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N2 - ABSTRACT. THEOREM. The topological partition relation ω*→ (Y)12 (a) Fails for every space Y with |Y| |Mg 2c; (b) Holds for Y discrete if and only if |Y| |Ml c; (c) Holds for certain nondiscrete P‐spaces Y; (d) Fails for Y=ω Imu {p} with p∉ω*; (e) Fails for Y infinite and countably compact.

AB - ABSTRACT. THEOREM. The topological partition relation ω*→ (Y)12 (a) Fails for every space Y with |Y| |Mg 2c; (b) Holds for Y discrete if and only if |Y| |Ml c; (c) Holds for certain nondiscrete P‐spaces Y; (d) Fails for Y=ω Imu {p} with p∉ω*; (e) Fails for Y infinite and countably compact.

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KW - Stone‐Cech remainder

KW - Topological Ramsey theory

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Topological Partition Relations of the Form ω*→(Y)¹₂

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Keywords

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