Download or read book Set Ideal Topological Spaces written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Set Ideal Topological Spaces written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ideal Topological Spaces written by Julian Dontchev and published by . This book was released on 1998 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Set Topology written by R. Vaidyanathaswamy and published by Courier Corporation. This book was released on 1960-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text covers the algebra of subsets and of rings and fields of sets, complementation and ideal theory in the distributive lattice, closure function, neighborhood topology, much more. Includes numerous exercises. 1960 edition.
Download or read book Compactness on Single Valued Neutrosophic Ideal Topological Spaces written by Fahad Alsharari and published by Infinite Study. This book was released on 2021-08-01 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theories of r-single-valued neutrosophic compact, r-single-valued neutrosophic ideal compact, r-single-valued neutrosophic quasi H-closed and r-single-valued neutrosophic compact modulo a single-valued neutrosophic ideal ℐ̃ are presented and investigated.
Download or read book Point Set Topology written by Steven A. Gaal and published by Courier Corporation. This book was released on 2009-04-23 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.
Download or read book Handbook of Set Theoretic Topology written by K. Kunen and published by Elsevier. This book was released on 2014-06-28 with total page 1282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest. In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.
Download or read book Neutrosophic Micro Ideal Topological Structure written by S. Ganesan and published by Infinite Study. This book was released on 2021-08-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article addressed the concept of neutrosophic micro ideal topology which is induced by the two litereture, they are ideal topological spaces and micro topology.
Download or read book Neutrosophic Nano ideal topological structure written by M. Parimala and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper addressed the concept of Neutrosophic nano ideal topology which is induced by the two literature, they are nano topology and ideal topological spaces. We defined its local function, closed set and also defined and give new dimnesion to codense ideal by incorporating it to ideal topological structures. We investigate some properties of neutrosophic nano topology with ideal.
Download or read book Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces written by Fahad Alsharari and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed.
Download or read book Fuzzy Information and Engineering Volume 2 written by Bingyuan Cao and published by Springer Science & Business Media. This book was released on 2009-10-14 with total page 1687 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the proceedings of the Third International Conference on Fuzzy Information and Engineering (ICFIE 2009) held in the famous mountain city Chongqing in Southwestern China, from September 26-29, 2009. Only high-quality papers are included. The ICFIE 2009, built on the success of previous conferences, the ICFIE 2007 (Guangzhou, China), is a major symposium for scientists, engineers and practitioners in the world to present their updated results, ideas, developments and applications in all areas of fuzzy information and engineering. It aims to strengthen relations between industry research laboratories and universities, and to create a primary symposium for world scientists in fuzzy fields as follows: Fuzzy Information; Fuzzy Sets and Systems; Soft Computing; Fuzzy Engineering; Fuzzy Operation Research and Management; Artificial Intelligence; Fuzzy Mathematics and Systems in Applications, etc.
Download or read book Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces written by Ibtesam Alshammari and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study such a problem. This paper motivates an enquiry of the third component – abstain - in practical problems. The aim of this paper is to investigate the contemporary notion of picture fuzzy nano topological spaces and explore some of its properties. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding the file selection of building material under uncertainty by using picture fuzzy nano topological spaces is developed. As a practical problem, a comparison table is presented to show the difference between the novel concept and the existing methods.
Download or read book Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering vol 24 2018 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Download or read book Subset Polynomial Semirings and Subset Matrix Semirings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2013 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors introduce the new notions of subset polynomial semirings and subset matrix semirings. Solving subset polynomial equations is an interesting exercise. Open problems about the solution set of subset polynomials are proposed.
Download or read book A Study on Some New Sets in Ideal Topological Spaces written by Periyasamy P and published by Infotech Publishers. This book was released on 2022-09-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Topology is the mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects. Tearing however is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid. Topology is one of four major areas of abstract Mathematics: algebra (equations), analysis (limits), foundations (set theory and logic), and topology. The word topology comes from the Greek word for place. Broadly speaking, topology is the study of space and continuity. Since topology includes the study of continuous deformations of space, it is often popularly called rubber sheet geometry. Johan Benedict (1802 - 1882) was the first to use the word topology.
Download or read book Topological Spaces written by Gerard Buskes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of "Extras" at the end of each chapter presenting a brief foray outside topology.
Download or read book Elements of Point Set Topology written by John D. Baum and published by Courier Corporation. This book was released on 1991-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thought-out, graduated approach to point set topology at the undergraduate level. To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics. After a discussion of such preliminary topics as the algebra of sets, Euler-Venn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces. Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.
