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Mathematical Notes, 2005
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Kozlov, K. L., Chatyrko, V. A.
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Kozlov, K. L., Chatyrko, V. A.
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Singular compactifications and compactification lattices
1990The aim of this paper is to study the set LSK(X) of the compactifications of X which can be obtained as a supremum of singular compactifications. We prove that a compactification aX of X belongs to LSK(X) if and only if aX is the supremum of the set SC_a of the singular compactifications induced by the maps from X to a compact subspace of R which ...
CATERINO, Alessandro +1 more
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1997
Abstract It is well known that compactifications do not often preserve metrizability. Thus for instance a nontrivial Čech-Stone compactification is never metrizable. And even if a compactification is metrizable, then it need not be metrizable by an extension of the given metric.
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Abstract It is well known that compactifications do not often preserve metrizability. Thus for instance a nontrivial Čech-Stone compactification is never metrizable. And even if a compactification is metrizable, then it need not be metrizable by an extension of the given metric.
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Mathematische Nachrichten, 1990
The author surveys the theory of (regular) compactifications of locales, stressing the aspect of locale theory as the constructive (choice-free) counterpart of topology. The main ``new'' result (actually the localic translation of a result established for spaces by the same author over twenty years ago) is that compactifications of a given locale L ...
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The author surveys the theory of (regular) compactifications of locales, stressing the aspect of locale theory as the constructive (choice-free) counterpart of topology. The main ``new'' result (actually the localic translation of a result established for spaces by the same author over twenty years ago) is that compactifications of a given locale L ...
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Quaestiones Mathematicae, 2000
Click on the link to view the abstract.Keywords: Closure operator; compactification; completion; factorisation structure; reflectionQuaestiones Mathematicae 23(2000), 529 ...
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Click on the link to view the abstract.Keywords: Closure operator; compactification; completion; factorisation structure; reflectionQuaestiones Mathematicae 23(2000), 529 ...
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Journal of the London Mathematical Society, 1992
Some of the basic relationships between \(S\)-flows and monoidal compactifications of the topological semigroup \(S\) are established and then this machinery is used for the study of flows. It is shown that many standard types of \(S\)-flows (such as proximal, distal or aperiodic) can be characterized by natural restrictions on the minimal ideal of the
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Some of the basic relationships between \(S\)-flows and monoidal compactifications of the topological semigroup \(S\) are established and then this machinery is used for the study of flows. It is shown that many standard types of \(S\)-flows (such as proximal, distal or aperiodic) can be characterized by natural restrictions on the minimal ideal of the
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