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Friday, May 15, 2020 | History

5 edition of Bitopological Spaces found in the catalog.

Bitopological Spaces

Theory, Relations with Generalized Algebraic Structures and Applications, Volume 199 (North-Holland Mathematics Studies)

by Badri Dvalishvili

  • 363 Want to read
  • 2 Currently reading

Published by North Holland .
Written in English


The Physical Object
Number of Pages422
ID Numbers
Open LibraryOL7530892M
ISBN 100444517936
ISBN 109780444517937

The notion of a bitopological space (X, τ1, τ2), that is a set X equipped with two topologies τ1 and τ2 was formulated by J. C. Kelly in [12]. There are several hundred works indicated to the investigation of bitopological spaces. The book [1] is a versatile introduction to the theory of bitopological spaces and its Size: KB. Discussion in various concepts of bitopological spaces, , This book deals with several topics in bitopologcal spaces. We have discussed semiopen, semiclosed, semi continuity, semiconnectedness, semicompactness and quotient bi-space in bitopological spaces. In addition, several relationships between topological spaces and bitopological space has been : Mahenthiram Arunmaran, Kankeyanathan Kannan.

Connectedness In Bitopological Spaces This is likewise one of the factors by obtaining the soft documents of this connectedness in bitopological spaces by online. You might not require more period to spend to go to the ebook foundation as without difficulty as search for them. In some cases, you likewise realize not discover the pronouncement. This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are .

A bitopological space (X,p 1,p 2)[ "bitopological spaces", ] is anon-empty set X with two topologies p 1 and p 2 on X. [Caldas,M, "semi-T 1/2-space" ] defined the concept of anew class of topological spaces called semi –T 1/2 spaces. [ Kumar,"Between semi closed set and semi-priclosed set" ] introduced a new class of. direction, Fox [7] discussed the quasi-metrizability of bitopological spaces, pairwise stratifiable bitopological spaces and their generalizations have been introduced and studied by [12], [21] and [22]. Interplay between topology and order has been a very interesting area. In , Nachbin’s book [26] was published.


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Bitopological Spaces by Badri Dvalishvili Download PDF EPUB FB2

This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are Cited by: Purchase Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications, Volume - 1st Edition.

Print Book & E-Book. ISBN  Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications. by Badri Dvalishvili. North-Holland Mathematics Studies (Book ) Share your thoughts Complete your review. Tell readers what you thought by rating and reviewing this book.

Rate it * You Rated it *Brand: Elsevier Science. In mathematics, a bitopological space is a set endowed with two lly, if the set is and the topologies are and then the bitopological space is referred to as (,).The notion was introduced by J.

Kelly in the study of quasimetrics, i.e. distance functions that are not required to be symmetric. There's No Place Like Space: All About Our Solar out of 5 stars 2, National Geographic Little Kids First Big Book of Catherine D.

Hughes. out of 5 stars 1, Baby University Board Book Set: Four Science out of 5 stars Nerdy Babies: Space.

out of 5 stars in Children's Astronomy & Space Books. Most Wished For. Bitopological spaces arise in a natural way by considering the topologies induced by sets of the form B^^^ = fy I p(x,y).

Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications (North-Holland Mathematics Studies) by Badri Dvalishvili and a great selection of related books, art and collectibles available now at The paper is, in essence, a monograph devoted to the theory of bitopological spaces and its applications.

Not exhausting the entire subject, it reflects basic ideas and methods of the theory. The Introduction gives an idea of the origins of the basic notions, contents, methods, and problems both of the classical (in the spirit of Kelly) and of the general theory of bitopological.

Search in this book series. Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures, and Applications. Edited by B.P. Dvalishvili. VolumePages () Download full volume. Previous volume. Next volume. Get this from a library. Bitopological spaces: theory, relations with generalized algebraic structures, and applications.

[B P Dvalishvili] -- This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced. matematica, tom xxii (), issue no. 1, 47–61 a generalization of strongly irresolute functions in bitopological spaces takashi noiri1, valeriu popa2 abstract.

In this paper, we introduce the notion of strongly θ-mij -continuous func- tions from a bi-m-space into an m-space. Topological Space Topological Structure Usual Topology Bitopological Space Admissible Operation These keywords were added by machine and not by the authors.

This process is experimental and the keywords may be updated as the learning algorithm improves. ISBN: OCLC Number: Description: xiii, pages ; 25 cm. Contents: Symbols and Notations. Basic Concepts of Bitopology 1 Internal Characterization of Pairwise Complete Regularity 11 --Chapter I Different Families of Sets in Bitopological Spaces (i, j)-Nowhere Dense Sets and (i, j)-Category Notions 17 (i, j).

Description: In this book, generally speaking, some properties of bitopological spaces generated by certain non-symmetric functions are studied.

These functions, called probabilistic quasi-pseudo-metrics and fuzzy quasi-pseudo-metrics, are. Topology is a branch of mathematics concerned with geometrical properties objects that are insensitive to smooth deformations.

This is most easily illustrated by the simple example of closed two-dimensional surfaces in three dimensions (see Fig. 1).A sphere can be smoothly deformed into many different shapes, such as the surface of a disk or a bowl. A generalization of Haworth-McCoy's theorem [HM, Theorem ] about Baire spaces is obtained for the class of submaximal bitopological spaces.

AMS subject classification: 54EAuthor: Irakli Dochviri. Asymmetric clopen sets in the bitopological spaces Article (PDF Available) in Italian Journal of Pure and Applied Mathematics 33(33) January.

The book first offers information on elementary principles, topological spaces, and compactness and connectedness. Discussions focus on locally compact spaces, local connectedness, fundamental concepts and their reformulations, lattice of topologies, axioms of separation, fundamental concepts of set theory, and ordered sets and Edition: 1.

The book Bitopological Spaces: Materials and Methods Let —-and – be the interior, closure, -interior, -closure, and -semiclosure of with respect to the topologyrespectively. Dvalishvili, Tbilisi, Georgia elsevier. Well, a bitopological space is simply a set equipped with two topological structures (X, 𝒯, 𝒯 *) (X, \mathcal{T}, \mathcal{T}^*).

Unlike with bialgebras, no compatibility condition is required between these structures. A bicontinous map is a function between bitopological spaces that is continuous with respect to each topological structure. I am interested where bitopological spaces occur in various parts of mathematics (i.e., what are natural examples of bitopological spaces stemming from various areas of mathematics, not from the studying bitopological spaces for their own sake.).

I would also like to know where bitopological spaces have some applications in various parts in mathematics. Bitoological book Bitopological Spaces: Then is called 1 -regular open, if -int -cl ; 2 -regular open, if -int -cl ; 3 -semiopen, if -cl -int ; 4 -semiclosed, if -int -cl.

Thus, is – semicompact. If cannot be expressed as the union of two disjoint sets and such that is – semiopen and is – semiopen, then does not contain any nonempty.Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications.

por Badri Dvalishvili. North-Holland Mathematics Studies (Book ) ¡Gracias por compartir! Has enviado la siguiente calificación y reseña. Lo publicaremos en Brand: Elsevier Science.