Continua in R∗

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From continua to R-trees

We show how to associate an R-tree to the set of cut points of a continuum. If X is a continuum without cut points we show how to associate an R-tree to the set of cut pairs of X . AMS Classification 54F15,54F05,20F65,20E08

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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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We defend the fundamental ontological-pragmatic principle that often where there are continua in reality, science is forced to make partly fiat terminological delimitations. In particular, this principle applies when it comes to describing biological organisms, their parts, properties, and relations. Human-made fiat delimitations are indispensable at the level of both individuals and the natura...

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 1993

ISSN: 0166-8641

DOI: 10.1016/0166-8641(93)90020-e