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arXiv · 1112.5261

Some properties of minimal S(α) and S(α)FC spaces

Alexander V. Osipov
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Abstract

A S(n)-space is S(n)-functionally compact (S(n)FC) if every continuous function onto a S(n)-space is closed. S(n)-closed, S(n)-θ-closed, minimal S(n) and S(n)FC spaces are characterized in terms of θ(n)-complete accumulation points. In paper we also give new characteristics of R-closed and regular functionally compact spaces. Results obtained to answer some questions raised by D.Dikranjan, E.Giuli, L.Friedler, M.Girou, D.Pettey and J.Porter.

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Alexander V. Osipov. 2011-12-22. Some properties of minimal S(α) and S(α)FC spaces. https://arxiv.org/abs/1112.5261

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