A Topological reflection principle equivalent to shelah's strong hypothesis

Assaf Rinot

doi:10.1090/S0002-9939-08-09411-2

A Topological reflection principle equivalent to shelah's strong hypothesis

Assaf Rinot

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

8 Scopus citations

Abstract

We notice that Shelah's Strong Hypothesis is equivalent to the following reflection principle: Suppose τX, Tτ is a first-countable space whose density is a regular cardinal, K. If every separable subspace of X is of cardinality at most K, then the cardinality of X is K.

Original language	English
Pages (from-to)	4413-4416
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-08-09411-2
State	Published - 1 Dec 2008
Externally published	Yes

Keywords

Countably tight
First countable
Shelah's Strong Hypothesis

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-08-09411-2

Cite this

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abstract = "We notice that Shelah's Strong Hypothesis is equivalent to the following reflection principle: Suppose τX, Tτ is a first-countable space whose density is a regular cardinal, K. If every separable subspace of X is of cardinality at most K, then the cardinality of X is K.",

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AB - We notice that Shelah's Strong Hypothesis is equivalent to the following reflection principle: Suppose τX, Tτ is a first-countable space whose density is a regular cardinal, K. If every separable subspace of X is of cardinality at most K, then the cardinality of X is K.

KW - Countably tight

KW - First countable

KW - Shelah's Strong Hypothesis

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U2 - 10.1090/S0002-9939-08-09411-2

DO - 10.1090/S0002-9939-08-09411-2

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A Topological reflection principle equivalent to shelah's strong hypothesis

Abstract

Keywords

ASJC Scopus subject areas

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