On identical response of initially excited and relaxed linear discrete-time system
Václav Soukup (1979)
Kybernetika
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Václav Soukup (1979)
Kybernetika
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Roman Pol (1978)
Fundamenta Mathematicae
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Santi Spadaro (2009)
Commentationes Mathematicae Universitatis Carolinae
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We give several partial positive answers to a question of Juhász and Szentmiklóssy regarding the minimum number of discrete sets required to cover a compact space. We study the relationship between the size of discrete sets, free sequences and their closures with the cardinality of a Hausdorff space, improving known results in the literature.
Yasushi Hirata, Yukinobu Yajima (2013)
Commentationes Mathematicae Universitatis Carolinae
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It looks not useful to study the sup = max problem for extent, because there are simple examples refuting the condition. On the other hand, the sup = max problem for Lindelöf degree does not occur at a glance, because Lindelöf degree is usually defined by not supremum but minimum. Nevertheless, in this paper, we discuss the sup = max problem for the extent of generalized metric spaces by combining the sup = max problem for the Lindelöf degree of these spaces.