A note on semiregular and nearly regular spaces
Miroslav Katětov (1947)
Časopis pro pěstování matematiky a fysiky
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Miroslav Katětov (1947)
Časopis pro pěstování matematiky a fysiky
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Sophia Zafiridou (2015)
Fundamenta Mathematicae
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We construct a universal planar completely regular continuum. This gives a positive answer to a problem posed by J. Krasinkiewicz (1986).
Al-Omari, Ahmad, Noorani, Mohd Salmi Md (2007)
International Journal of Mathematics and Mathematical Sciences
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Betten, Anton, Betten, Dieter (1997)
Beiträge zur Algebra und Geometrie
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D. V. Thampuran (1970)
Matematički Vesnik
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Jacek Nikiel (1989)
Fundamenta Mathematicae
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David Handel (1980)
Fundamenta Mathematicae
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István Juhász, Lajos Soukup, Zoltán Szentmiklóssy (2015)
Fundamenta Mathematicae
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We improve some results of Pavlov and Filatova, concerning a problem of Malykhin, by showing that every regular space X that satisfies Δ(X) > e(X) is ω-resolvable. Here Δ(X), the dispersion character of X, is the smallest size of a non-empty open set in X, and e(X), the extent of X, is the supremum of the sizes of all closed-and-discrete subsets of X. In particular, regular Lindelöf spaces of uncountable dispersion character are ω-resolvable. We also prove that...
Flavio Corradini, Rocco De Nicola, Anna Labella (2010)
RAIRO - Theoretical Informatics and Applications
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An alternative (tree-based) semantics for a class of regular expressions is proposed that assigns a central rôle to the + operator and thus to nondeterminism and nondeterministic choice. For the new semantics a consistent and complete axiomatization is obtained from the original axiomatization of regular expressions by Salomaa and by Kozen by dropping the idempotence law for + and the distribution law of • over +.
Timothy Rouch (1979)
Colloquium Mathematicae
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