Variations of selective separability and tightness in function spaces with set open topologies

We study tightness properties and selective versions of separability in bitopological function spaces endowed with set-open topologies.Comment: 19 page

On connectedness in intuitionistic fuzzy special topological spaces

The aim of this paper is to construct the basic concepts related to connectedness in intuitionistic fuzzy special topological spaces. Here we introduce the concepts of C5-connectedness, connectedness, Cs-connectedness, CM-connectedness, strong connectedness, super connectedness, Ci-connectedness (i=1,2,3,4), and, obtain several preservation properties and some characterizations concerning connectedness in these spaces

A note on connectedness in intuitionistic fuzzy special topological spaces

We prove some properties of several types of connectedness defined in intuitionistic fuzzy special topological spaces

Lebesgue and Co-Lebesgue Di-Uniform Texture Spaces

The author introduces the notions of Lebesgue di-uniformity and co Lebesgue di-uniformity and investigates the relationship between a Lebesgue quasi uniformity on X and the corresponding Lebesgue di-uniformity on the discrete texture (X, P(X)). Finally a notion of a dual dicovering Lebesgue quasi di-uniform texture space is introduced and several properties are discussed. (C) 2009 Elsevier B.V. All rights reserved.WoSScopu

Revisiting di-uniformity and full-dinormality via dicovers

In this paper, we dene and study the notions of normal* and w-anchored dicovers as important classes of covers, convenient for the texture theory. Especially, a ditopological counterpart is given for the well-known result that in a completely regular topological space, the collection of all normal covers forms a uniformity com-patible with the topology. In addition, we describe two kinds of dicovers called divisible and even, in order to characterize the largest di-uniformity on textures, as well as characterizing the full dinormality which is introduced by L.M. Brown and M. Diker (Paracompactness and full normality in ditopological texture spaces, J. Math. Annal. Appl. 227 (1998), 144{165). Mathematics Subject Classication (2010): 06B23, 18B35, 54D20, 54E55

Defragmentering. En fotobok om fragment

How do you reed a book? Do you start at the beginning, or do you begin with the end or maybe in the middle? In my exam project I elected to work with a photographic publication about fragments of pictures combined in different ways, changing the context of the photographs and making the reader search for the whole picture, literary. During the project I tried to create a method for folding which would make the pictures communicate differently depending on how they where stacked against each other. I wanted to explore new ways to read the photo book, and how the format could be transformed by folding, to be able to show the pictures in a larger scale. Working with the material from an earlier project about defragmentation, I wanted to create a book that would correspond to this and figure out how it would work

The Prime Dicompletion Of A Di-Uniformity On A Plain Texture

Working within a plain texture (S, S), the authors construct a completion of a dicovering uniformity v on (S, S) in terms of prime S-filters. In case v is separated, a separated completion is then obtained using the To-quotient, and it is shown that this construction produces a reflector. For a totally bounded di-uniformity it is verified that these constructions lead to dicompactifications of the uniform ditopology. A condition is given under which complementation is preserved on passing to these completions, and an example on the real texture (R, R, rho) is presented. (C) 2011 Elsevier B.V. All rights reserved.WoSScopu

More on Selective Covering Properties in Bitopological Spaces

In this study, we continue our investigation of selective covering properties in bitopological spaces. We discuss their behaviour under certain kinds of mappings. We also introduce selective versions of the ccc property and the star-ccc property in bitopological spaces and give few of their relations with other selective properties. Also, we consider preservation of selective covering properties of bitopological spaces under some known relations in bitopological context

Di-Uniformities and Hutton Uniformities

The authors characterize di-uniformities on a texture (S, J) in the sense of Ozgag and Brown (Di-uniform texture spaces, Appl. Gen. Top. 4(1) (2003), 157-192) in terms of functions on the texturing J. This characterization enables quasi-uniformities in the sense of Hutton (Uniformities on Fuzzy Topological Spaces, J. Math. Anal. Appl. 58 (1977) 559-571) to be regarded as di-uniformities on the corresponding Hutton Texture, thereby revealing di-uniformities as a generalization of Hutton quasi-uniformities. The effect of imposing a complementation on (S, J) is also considered and several important results established. (C) 2011 Elsevier B.V. All rights reserved.Wo