منابع مشابه
Density Continuity Versus Continuity
Real-valued functions of a real variable which are continuous with respect to the density topology on both the domain and the range are called density continuous. A typical continuous function is nowhere density continuous. The same is true of a typical homeomorphism of the real line. A subset of the real line is the set of points of discontinuity of a density continuous function if and only if...
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Abstract. A remarkable result due to Kou, Liu & Luo states that the condition of continuity for a dcpo can be split into quasi-continuity and meet-continuity. Their argument contained a gap, however, which is probably why the authors of the monograph Continuous Lattices and Domains used a different (and fairly sophisticated) sequence of lemmas in order to establish the result. In this note we s...
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A . Uniform sequential continuity, a property classically equivalent to uniform continuity on compact sets, is shown, constructively, to be a consequence of strong continuity on a metric space. It is then shown that in the case of a separable metric space, in order to omit the word sequential from this result, it is necessary and sufficient to adopt a principle (BD-N) that is independent of Hey...
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The dynamical behavior of a map on the unit interval has been the subject of much contemporary research. In this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits o...
متن کاملWhy continuity
This paper examines over 900 why-questions gathered in a longitudinal study of an English-speaking child from 2 to 6 years of age. The child went through a protracted stage in which many why-questions lacked subject-aux inversion, in contrast to other wh-questions. While this asymmetry has been observed in the previous literature, several new observations also emerged. First, the child permitte...
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ژورنال
عنوان ژورنال: Journalism
سال: 2018
ISSN: 1464-8849,1741-3001
DOI: 10.1177/1464884918806734