The Baire property of certain hypo-graph spaces
نویسندگان
چکیده
منابع مشابه
Baire Spaces, Sober Spaces
In the article concepts and facts necessary to continue forma-lization of theory of continuous lattices according to [10] are introduced. The notation and terminology used here are introduced in the following papers:
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We prove that the class of functions with the Baire property has the weak difference property in category sense. That is, every function for which f(x+h)−f(x) has the Baire property for every h ∈ R can be written in the form f = g+H+φ where g has the Baire property, H is additive, and for every h ∈ R we have φ(x+h)−φ(x) 6= 0 only on a meager set. We also discuss the weak difference property of ...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 2015
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1438951816