On a topological Ramsey theorem
نویسندگان
چکیده
Abstract We introduce natural strengthenings of sequential compactness, the r -Ramsey property for each number $r\geq 1$ . prove that metrizable compact spaces are all and give examples but not $(r+1)$ (assuming Continuum Hypothesis (CH) $r>1$ ). Productivity is considered.
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ژورنال
عنوان ژورنال: Canadian mathematical bulletin
سال: 2022
ISSN: ['1496-4287', '0008-4395']
DOI: https://doi.org/10.4153/s0008439522000170