Some properties of g- and P-spaces
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with c.c.c. is given. A P−space with c.c.c. is countable and discrete.
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Kalamidas, N. (1999)
Serdica Mathematical Journal
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with c.c.c. is given. A P−space with c.c.c. is countable and discrete.
J. Vaughan (1975)
Fundamenta Mathematicae
Mary Powderly (1974)
Journal für die reine und angewandte Mathematik
Mihail G. Tkachenko (1981)
Commentationes Mathematicae Universitatis Carolinae
Mihail G. Tkachenko (1981)
Commentationes Mathematicae Universitatis Carolinae
Heikki Junnila (1983)
Fundamenta Mathematicae
Gryzlov, A. (1984)
Proceedings of the 12th Winter School on Abstract Analysis
D. L. Grant, I. L. Reilly (1990)
Matematički Vesnik
Yan-Kui Song (2012)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we prove the following statements: (1) For any cardinal , there exists a Tychonoff star-Lindelöf space such that . (2) There is a Tychonoff discretely star-Lindelöf space such that does not exist. (3) For any cardinal , there exists a Tychonoff pseudocompact -starcompact space such that .
Michael L. Wage (1977)
Commentationes Mathematicae Universitatis Carolinae
Alessandro Fedeli (1997)
Commentationes Mathematicae Universitatis Carolinae
Motivated by some examples, we introduce the concept of special almost P-space and show, using the reflection principle, that for every space of this kind the inequality “" holds.
Petr Simon (1984)
Acta Universitatis Carolinae. Mathematica et Physica
N. Hindman (1991)
Semigroup forum
Mihail G. Tkachenko (1983)
Commentationes Mathematicae Universitatis Carolinae
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