Some cardinal generalizations of pseudocompactness
Teklehaimanot Retta (1993)
Czechoslovak Mathematical Journal
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Teklehaimanot Retta (1993)
Czechoslovak Mathematical Journal
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John J. Schommer (1993)
Commentationes Mathematicae Universitatis Carolinae
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A space is said to be nearly pseudocompact iff is dense in . In this paper relatively realcompact sets are defined, and it is shown that a space is nearly pseudocompact iff every relatively realcompact open set is relatively compact. Other equivalences of nearly pseudocompactness are obtained and compared to some results of Blair and van Douwen.
Kiyosawa, T., Schikhof, W.H. (1996)
International Journal of Mathematics and Mathematical Sciences
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Iwao Yoshioka (2002)
Commentationes Mathematicae Universitatis Carolinae
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In 1998, S. Romaguera [13] introduced the notion of cofinally Čech-complete spaces equivalent to spaces which we later called ultracomplete spaces. We define the subset of points of a space at which is not locally compact and call it an nlc set. In 1999, Garc’ıa-Máynez and S. Romaguera [6] proved that every cofinally Čech-complete space has a bounded nlc set. In 2001, D. Buhagiar [1] proved that every ultracomplete GO-space has a compact nlc set. In this paper, ultracomplete spaces...