منابع مشابه
Luzin Gaps
We isolate a class of Fσδ ideals on N that includes all analytic P-ideals and all Fσ ideals, and introduce ‘Luzin gaps’ in their quotients. A dichotomy for Luzin gaps allows us to freeze gaps, and prove some gap preservation results. Most importantly, under PFA all isomorphisms between quotient algebras over these ideals have continuous liftings. This gives a partial confirmation to the author’...
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We will kill the old Luzin and Sierpinski sets in order to build a model where U (M) = U (N) = ℵ 1 and there are neither Luzin nor Sierpinski sets. Thus we answer a question of J. Steprans, communicated by S. Todorcevic on route from Evans to MSRI.
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Cut the unit circle S = R/Z at the points { √ 1}, { √ 2}, . . . , { √ N }, where {x} = x mod 1, and let J1, . . . , JN denote the complementary intervals, or gaps, that remain. We show that, in contrast to the case of random points (whose gaps are exponentially distributed), the lengths |Ji|/N are governed by an explicit piecewise real-analytic distribution F (t) dt with phase transitions at t ...
متن کامل2 01 0 on Sobolev - Type Functions on Metric Spaces : Luzin , Radó , and Reichelderfer
In this note we consider some measure-theoretic properties of functions belonging to a Sobolev-type class on metric measure spaces that admit both a Poincaré inequality and are equipped with a doubling measure. The properties we have selected to study are those that are closely related to area and coarea formulas. We study, in particular, graph mappings of Sobolev-type functions, the metric spa...
متن کاملSex Education Gaps in University Curriculum
Background: Sex education is one of the challenging areas of educational systems that has always been accompanied by many problems due to some obstacles and constraints. This has led to occurrence of many behavioral problems and deviations. The aim of this study was to determine the sex education gaps in university curriculum from the students' perspective. Methods: This was a descriptive-surve...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2013
ISSN: 0166-8641
DOI: 10.1016/j.topol.2013.05.015