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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a 'realistic' place (spot, grain) of non-trivial extent.Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory.No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.
Sprache: Englisch
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ISBN 10: 3032137594 ISBN 13: 9783032137593
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a comprehensive introduction to some key subjects in logic, category theory, algebra and topology. Its five chapters contain the written records of the five courses of the 2022 TACL Summer School (Mira, Portugal, June 14-18, 2022), addressed to graduate students and more experienced mathematicians working in algebra, topology, categories and logic. This volume can help researchers to quickly get into the subject by offering «self-contained» introductions to the subjects.
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Taschenbuch. Zustand: Neu. Separation in Point-Free Topology | Jorge Picado (u. a.) | Taschenbuch | xxi | Englisch | 2022 | Birkhäuser | EAN 9783030534813 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book collects the groundbreaking research presented at the plenary lectures of the First Brazil-Portugal Joint Meeting in Mathematics, held in Salvador, Brazil, from August 14 to 20, 2022. This historic event marked the bicentennial of Brazil's independence and celebrated the strengthening of scientific cooperation between the two nations.With contributions from international experts, these proceedings provide a comprehensive overview of the latest advances in various areas of mathematics. It contains a stimulating mix of research articles and exclusive surveys of the state of the art in current topics. It collects 7 articles on various topics, including transmission problems and PDEs, linear and nonlinear fractional PDEs of interacting particle systems, complexity in continuous optimization, Poisson manifolds, real and complex singularities, Reeb flows, and statistical extreme value theory. It serves as a testament to the growing partnership between the Brazilian and Portuguese mathematical communities.This volume will serve as a source of inspiration for a broad range of researchers and research students, especially professional mathematicians with ties to Brazil and/or Portugal.