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Autor Lupianez, Francisco Gallego |
Documentos disponibles escritos por este autor (51)
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We study -paracompact subsets, defined by C. E. Aull. Here we obtain some covering properties of -paracompact subsets which are similar to properties of paracompact spaces. In particular, we characterize -paracompact subsets in regular spaces. M[...]texto impreso
In this paper -paracompact and well-situated subsets are further examined. A subset E of a space X is -paracompact if every covering of E by open sets has a refinement by open sets, locally finite in X, which covers E [C. E. Aull, Proc. 2nd Prag[...]texto impreso
In an earlier paper, we proved that Smarandache’s definition of neutrosophic paraconsistent topology is neither a generalization of Çoker’s intuitionistic fuzzy topology nor a generalization of Smarandache’s neutrosophic topology. Recently, Sala[...]texto impreso
In this paper, we define the concept of C-scattered fuzzy topological spaces and obtain some properties about them. In particular, we study the relation between C-scattered spaces and its fuzzy extension, it is proved that C-scattered fuzzy topo[...]texto impreso
In this interesting paper a new class of ultraparacompact spaces, the class of so-called (P*) spaces, is introduced and investigated. A zero-dimensional Hausdorff space is called a (P*) space if for every open cover and for every clopen base suc[...]texto impreso
We study in this paper a modification of continued fractions defined by the author, such that its lexicographic order coincides with the linear order of real numbers. This fact has beautiful consequences in Topology. Indeed, it gives the possibi[...]texto impreso
Purpose – D.Çoker constructed the fundamental theory of intuitionistic fuzzy topological spaces. The purpose of this paper is to introduce a new concept of compactness and a definition of paracompactness for intuitionistic fuzzy topological spac[...]texto impreso
In this paper we define, for fuzzy topology, notions corresponding to finite-to-one and k-to-one maps. We study the relationship between these new fuzzy maps and various kinds of fuzzy perfect maps. Also, we show the invariance and the inverse i[...]texto impreso
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In General Topology, there exist useful theorems on the existence of partitions of unity for paracompact regular spaces (and also for normal spaces). In this paper, we define the notion of fuzzy partition of unity and we obtain some results abou[...]texto impreso
In this paper we prove that S-paracompactness, S*-paracompactness, fuzzy paracompactness, and .-fuzzy paracompactness are invariants and inverse invariants of various types of fuzzy perfect maps.texto impreso
The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. C¸ oker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, [...]texto impreso
The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. C¸ oker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, [...]