Dimensions of the type dim and Alexandroff spaces
نویسندگان
چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Cores of Alexandroff Spaces
Following Kukie la, we show how to generalize some results from May’s book [4] concerning cores of finite spaces to cores of Alexandroff spaces. It turns out that finite space methods can be extended under certain local finiteness assumptions; in particular, every bounded-paths space or countable finite-paths space has a core, and two bounded-paths spaces or countable finite-paths spaces are ho...
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This article is concerned with Alexandroff L-topological spaces and L-co-topological spaces, where L is a commutative, unital quantale. On one hand, an example is given to show that there is a finite strong L-topological space that is not Alexandroff. On the other hand, it is proved that every finite strong L-co-topological space is Alexandroff and that the category of Alexandroff strong L-co-t...
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in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولThe Alexandroff Dimension of Digital Quotients of Euclidean Spaces
Alexandroff T0-spaces have been studied as topological models of the supports of digital images and as discrete models of continuous spaces in theoretical physics. Recently, research has been focused on the dimension of such spaces. Here we study the small inductive dimension of the digital space X (W) constructed in [15] as a minimal open quotient of a fenestrationW ofRn . There are fenestrati...
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ژورنال
عنوان ژورنال: Journal of the Egyptian Mathematical Society
سال: 2013
ISSN: 1110-256X
DOI: 10.1016/j.joems.2013.02.015