- Tytuł:
- A Ramsey theorem for polyadic spaces
- Autorzy:
- Bell, Murray
- Tematy:
-
polyadic
regular closed
uniform Eberlein
hyperspace - Pokaż więcej
- Data publikacji:
- 1996
- Powiązania:
- https://bibliotekanauki.pl/articles/1205492.pdf Link otwiera się w nowym oknie
- Źródło:
-
Fundamenta Mathematicae; 1996, 150, 2; 189-195
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Opis:
- A polyadic space is a Hausdorff continuous image of some power of the one-point compactification of a discrete space. We prove a Ramsey-like property for polyadic spaces which for Boolean spaces can be stated as follows: every uncountable clopen collection contains an uncountable subcollection which is either linked or disjoint. One corollary is that $(ακ)^ω$ is not a universal preimage for uniform Eberlein compact spaces of weight at most κ, thus answering a question of Y. Benyamini, M. Rudin and M. Wage. Another consequence is that the property of being polyadic is not a regular closed hereditary property.
- Dostawca treści:
- Biblioteka Nauki
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