More on sequentially compact implying pseudoradial
نویسندگان
چکیده
منابع مشابه
SEQUENTIALLY COMPACT S-ACTS
The investigation of equational compactness was initiated by Banaschewski and Nelson. They proved that pure injectivity is equivalent to equational compactness. Here we define the so called sequentially compact acts over semigroups and study some of their categorical and homological properties. Some Baer conditions for injectivity of S-acts are also presented.
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There is a model of set theory in which all compact spaces of weight at most ω2 are pseudoradial.
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We investigate two properties and their connection to the property of pseudoradiality in the context of compact spaces. The first is the WAP property introduced by P. Simon and the second is the א0-pseudoradial property introduced by B. Šapirovskii. We show that ♦ implies there is a compact space which is pseudoradial but not WAP. We show that there is a model in which CH fails and in which all...
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We revisit the known problem whether each compact topology is contained in a maximal compact topology and collect some partial answers to this question. For instance we show that each compact topology is contained in a compact topology in which convergent sequences have unique limits. We also answer a question of D.E. Cameron by showing that each sequentially compact topology is contained in a ...
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A locally compact T2-space is called a Franklin-Rajagopalan space (or FR-space) provided it has a countable discrete dense subset whose complement is homeomorphic to an ordinal with the order topology. We show that (1) every sequentially compact FR-space X can be identified with a space constructed from a tower T on w (X = X(T)), and (2) for an ultrafilter u on w, a sequentially compact FR-spac...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1996
ISSN: 0166-8641
DOI: 10.1016/0166-8641(96)00066-1