Overview

With the emergence of avant-garde topologies such as NonStandard Real Topology and Neutrosophic Triplet Weak/Strong Topologies, understanding these innovative forms has become daunting for students, faculty, and researchers alike. Traditional approaches may need to be revised to comprehend these advanced concepts and their practical applications. This poses a problem as it can hinder the ability to learn and apply these topologies effectively. However, there is a comprehensive solution that can help you navigate through these complexities. Revolutionary Topologies and Their Applications provides a deep dive into these advanced concepts and their practical applications, providing you with the tools needed to succeed. This book is a vital resource for those who want to stay up-to-date in the field. It explores these new topologies and delves into their significance and real-world implications. From NeutroTopology to SuperHyperTopology, each topic is presented in a clear and accessible way, making it easier for readers to grasp complex ideas and apply them effectively. To bridge the gap between theory and application, Revolutionary Topologies and Their Applications offers theoretical insights and practical examples. Whether you're a student looking to expand your knowledge or a researcher aiming to explore new avenues in topology, this book provides the tools and expertise needed to navigate the complexities of avant-garde topologies.

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9798369352014

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Florentin Smarandache PhD, PostDocs, is an Emeritus Professor of Mathematics at the University of New Mexico, United States. He got his MSc in Mathematics and Computer Science from the University of Craiova, Romania, PhD in Mathematics from the State University of Kishinev, and Postdoctoral in Applied Mathematics from Okayama University of Sciences, Japan, and The Guangdong University of Technology, Guangzhou, China. He is the founder of neutrosophy (generalization of dialectics), neutrosophic set, logic, probability and statistics since 1995 and has published hundreds of papers and books on neutrosophic physics, superluminal and instantaneous physics, unmatter, quantum paradoxes, absolute theory of relativity, redshift and blueshift due to the medium gradient and refraction index besides the Doppler effect, paradoxism, outerart, neutrosophy as a new branch of philosophy, Law of Included Multiple-Middle, multispace and multistructure, HyperSoft set, TreeSoft Set, IndetermSoft Set and IndetermHyperSoft Set, SuperHyperGraph, SuperHyperTopology, SuperHyperAlgebra, SuperHyperFunction, Neutrosophic SuperHyperAlgebra, degree of dependence and independence between neutrosophic components, refined neutrosophic set, neutrosophic over-under-off-set, plithogenic set / logic / probability / statistics, symbolic plithogenic algebraic structures, neutrosophic triplet and duplet structures, quadruple neutrosophic structures, extension of algebraic structures to NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, NeutroTopology and AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, Dezert-Smarandache Theory and so on to many peer-reviewed international journals and many books and he presented papers and plenary lectures to many international conferences around the world. In addition, he published many books of poetry, dramas, children stories, translations, essays, a novel, folklore collections, traveling memories, and art albums: [ http://fs.unm.edu/FlorentinSmarandache.htm ].

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