Download or read book Special Issue Workshop Aspects of Contemporary Topology V written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Aspects of Contemporary Topology IV written by and published by . This book was released on 2011 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Issue Aspects of Contemporary Topology written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Modern Topology written by Ronald Brown and published by . This book was released on 1968 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Analysis and Topology written by Norman R. Howes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. It is intended that the material be accessible to a reader of modest background. An advanced calculus course and an introductory topology course should be adequate. But it is also intended that this book be able to take the reader from that state to the frontiers of modern analysis and topology in-so-far as they can be done within the framework of uniform spaces. Modern analysis is usually developed in the setting of metric spaces although a great deal of harmonic analysis is done on topological groups and much offimctional analysis is done on various topological algebraic structures. All of these spaces are special cases of uniform spaces. Modern topology often involves spaces that are more general than uniform spaces, but the uniform spaces provide a setting general enough to investigate many of the most important ideas in modern topology, including the theories of Stone-Cech compactification, Hewitt Real-compactification and Tamano-Morita Para compactification, together with the theory of rings of continuous functions, while at the same time retaining a structure rich enough to support modern analysis.
Download or read book Aspects of Contemporary Topology written by Mirek Hušek and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Workshop Aspects of Contemporary Topology V written by Mark Sioen and published by . This book was released on 2016 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Essential Topology written by Martin D. Crossley and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.
Download or read book Special Issue Aspects of Contemporary Topology II written by E. Colebunders and published by . This book was released on 2007 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Homology Theory written by Viktor Vasilʹevich Prasolov and published by American Mathematical Soc.. This book was released on 2007 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.
Download or read book Topology written by Tai-Danae Bradley and published by MIT Press. This book was released on 2020-08-18 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
Download or read book Antinomies of Art and Culture written by Okwui Enwezor and published by Duke University Press. This book was released on 2009-01-16 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this landmark collection, world-renowned theorists, artists, critics, and curators explore new ways of conceiving the present and understanding art and culture in relation to it. They revisit from fresh perspectives key issues regarding modernity and postmodernity, including the relationship between art and broader social and political currents, as well as important questions about temporality and change. They also reflect on whether or not broad categories and terms such as modernity, postmodernity, globalization, and decolonization are still relevant or useful. Including twenty essays and seventy-seven images, Antinomies of Art and Culture is a wide-ranging yet incisive inquiry into how to understand, describe, and represent what it is to live in the contemporary moment. In the volume’s introduction the theorist Terry Smith argues that predictions that postmodernity would emerge as a global successor to modernity have not materialized as anticipated. Smith suggests that the various situations of decolonized Africa, post-Soviet Europe, contemporary China, the conflicted Middle East, and an uncertain United States might be better characterized in terms of their “contemporaneity,” a concept which captures the frictions of the present while denying the inevitability of all currently competing universalisms. Essays range from Antonio Negri’s analysis of contemporaneity in light of the concept of multitude to Okwui Enwezor’s argument that the entire world is now in a postcolonial constellation, and from Rosalind Krauss’s defense of artistic modernism to Jonathan Hay’s characterization of contemporary developments in terms of doubled and even para-modernities. The volume’s centerpiece is a sequence of photographs from Zoe Leonard’s Analogue project. Depicting used clothing, both as it is bundled for shipment in Brooklyn and as it is displayed for sale on the streets of Uganda, the sequence is part of a striking visual record of new cultural forms and economies emerging as others are left behind. Contributors: Monica Amor, Nancy Condee, Okwui Enwezor, Boris Groys, Jonathan Hay, Wu Hung, Geeta Kapur, Rosalind Krauss, Bruno Latour, Zoe Leonard, Lev Manovich, James Meyer, Gao Minglu, Helen Molesworth, Antonio Negri, Sylvester Okwunodu Ogbechie, Nikos Papastergiadis, Colin Richards, Suely Rolnik, Terry Smith, McKenzie Wark
Download or read book Antwerp 2009 Proceedings of Workshop Aspects of Contemporary Topology III written by and published by . This book was released on 2009 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern General Topology written by Jun-Iti Nagata and published by Elsevier. This book was released on 2014-05-12 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VII: Modern General Topology focuses on the processes, operations, principles, and approaches employed in pure and applied mathematics, including spaces, cardinal and ordinal numbers, and mappings. The publication first elaborates on set, cardinal and ordinal numbers, basic concepts in topological spaces, and various topological spaces. Discussions focus on metric space, axioms of countability, compact space and paracompact space, normal space and fully normal space, subspace, product space, quotient space, and inverse limit space, convergence, mapping, and open basis and neighborhood basis. The book then ponders on compact spaces and related topics, as well as product of compact spaces, compactification, extensions of the concept of compactness, and compact space and the lattice of continuous functions. The manuscript tackles paracompact spaces and related topics, metrizable spaces and related topics, and topics related to mappings. Topics include metric space, paracompact space, and continuous mapping, theory of inverse limit space, theory of selection, mapping space, imbedding, metrizability, uniform space, countably paracompact space, and modifications of the concept of paracompactness. The book is a valuable source of data for mathematicians and researchers interested in modern general topology.
Download or read book General Topology and Its Relations to Modern Analysis and Algebra 2 written by Z. Frolík and published by Academic Press. This book was released on 2014-05-12 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.
Download or read book Aspects of contemporary topology II written by and published by . This book was released on 2007 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
