On decomposition of continua into aposyndetic continua
نویسندگان
چکیده
منابع مشابه
Concerning Aposyndetic and Non-aposyndetic Continua
Introduction. One might judge from the title that I am going to discuss continua. For is not a continuum either aposyndetic or nonaposyndetic? What I intend to do is to consider continua from a certain point of view, and from this point of view continua may be classified in a rough sort of way. This system of classification (and the basic concept upon which it rests) is only in its infancy. Her...
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Hemicrania continua (HC) is a rare primary headache syndrome, characterized by unilateral pain and an absolute response to indometacin. Since the term was first coined in 1984, more than 100 cases have been described worldwide. Most recently, detailed case series that provide more detailed information concerning the sometimes complex clinical presentation of HC have been reported. Functional im...
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PROOF. Let {Gn} and {Hn} denote monotonie decreasing sequences of open sets which close down upon .Pi and F2 respectively. We may suppose that d and Hi are so chosen that G i # i = 0. Now, by Mullikin's theorem, there is a connected subset of C— C(Gw+27n) which has a limit point in Gn and a limit point in Hn. The closure of such a connected set is a subcontinuum of C which "extends" from Gn to ...
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A continuum means a compact connected metric space. For a positive integer n, a continuum X is said to be n-equivalent provided that X contains exactlyn topologically distinct subcontinua. A continuumX is said to be hereditarily n-equivalent provided that each nondegenerate subcontinuum of X is n-equivalent. If there exists a positive integer n such that X is n-equivalent, then X is said to be ...
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Hearing the diagnosis of hemicrania continua can seem as if the medical provider is stating the obvious, because the name in Latin means that half of the head hurts. However, hemicrania continua is a unique type of headache, one that by definition responds to 1 medication, indomethacin. Hemicrania continua is usually referred to by its initials, HC. While HC is not seen as frequently as migrain...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1956
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1956-0086293-x