Small Cardinals and the Pseudocompactness of Hyperspaces of Subspaces of $����$
| Autor: | Ortiz-Castillo, Y. F., Rodrigues, V. O., Tomita, A. H. |
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| Rok vydání: | 2017 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1710.06087 |
| Popis: | We study the relations between a generalization of pseudocompactness, named $(��, M)$-pseudocompactness, the countably compactness of subspaces of $����$ and the pseudocompactness of their hyperspaces. We show, by assuming the existence of $\mathfrak c$-many selective ultrafilters, that there exists a subspace of $����$ that is $(��, ��^*)$-pseudocompact for all $�� 15 pages |
| Databáze: | OpenAIRE |
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