Locales Treated Mostly in a Covariant Way

Locales Treated Mostly in a Covariant Way PDF Author: Jorge Picado
Publisher:
ISBN:
Category : Lattices, Distributive
Languages : en
Pages : 132

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Locales Treated Mostly in a Covariant Way

Locales Treated Mostly in a Covariant Way PDF Author: Jorge Picado
Publisher:
ISBN:
Category : Lattices, Distributive
Languages : en
Pages : 132

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Book Description


New Perspectives in Algebra, Topology and Categories

New Perspectives in Algebra, Topology and Categories PDF Author: Maria Manuel Clementino
Publisher: Springer Nature
ISBN: 303084319X
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of « roadmap » and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as « self-contained » chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds d’Appui à l’Internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.

Separation in Point-Free Topology

Separation in Point-Free Topology PDF Author: Jorge Picado
Publisher: Springer Nature
ISBN: 3030534790
Category : Mathematics
Languages : en
Pages : 296

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Book Description
This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspiration for her/his further work. The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.

Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification

Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification PDF Author: Klaus Mainzer
Publisher: World Scientific
ISBN: 9811236496
Category : Mathematics
Languages : en
Pages : 425

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Book Description
This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type theory, univalent mathematics and point-free approaches to topology, extraction of certified programs from proofs, automated proofs in the automotive industry, as well as the philosophical and historical background of proof theory. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.

Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1396

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Extended Objects And Bound Systems: From Relativistic Description To Phenomenological Application - Proceedings Of The International Symposium

Extended Objects And Bound Systems: From Relativistic Description To Phenomenological Application - Proceedings Of The International Symposium PDF Author: S Naka
Publisher: World Scientific
ISBN: 9814553557
Category :
Languages : en
Pages : 470

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Book Description
Counterfeiting, which has emerged as a recent global phenomenon, has arisen due to economic liberalisation, the changing nature of society and new competitive structures. Branding has become an increasingly important area of research in marketing as well as a crucial decision-making area in strategic marketing management. Counterfeit-related activities challenge the existing theoretical and methodological framework in many ways, particularly consumer behavior and branding. This book brings together the three areas — counterfeiting, branding and consumer behaviour — within a very robust methodological and statistical modelling framework.

Nonperturbative Quantum Field Theory and the Structure of Matter

Nonperturbative Quantum Field Theory and the Structure of Matter PDF Author: T. Borne
Publisher: Springer Science & Business Media
ISBN: 0306471310
Category : Science
Languages : en
Pages : 343

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Book Description
"This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works." "Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be interesting to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed mater physics, and relativity."--Jacket.

Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1068

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The Legacy of the Inverse Scattering Transform in Applied Mathematics

The Legacy of the Inverse Scattering Transform in Applied Mathematics PDF Author: J. L. Bona
Publisher: American Mathematical Soc.
ISBN: 0821831615
Category : Mathematics
Languages : en
Pages : 346

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Book Description
Swift progress and new applications characterize the area of solitons and the inverse scattering transform. There are rapid developments in current nonlinear optical technology: Larger intensities are more available; pulse widths are smaller; relaxation times and damping rates are less significant. In keeping with these advancements, exactly integrable soliton equations, such as $3$-wave resonant interactions and second harmonic generation, are becoming more and more relevant inexperimental applications. Techniques are now being developed for using these interactions to frequency convert high intensity sources into frequency regimes where there are no lasers. Other experiments involve using these interactions to develop intense variable frequency sources, opening up even morepossibilities. This volume contains new developments and state-of-the-art research arising from the conference on the ``Legacy of the Inverse Scattering Transform'' held at Mount Holyoke College (South Hadley, MA). Unique to this volume is the opening section, ``Reviews''. This part of the book provides reviews of major research results in the inverse scattering transform (IST), on the application of IST to classical problems in differential geometry, on algebraic and analytic aspects ofsoliton-type equations, on a new method for studying boundary value problems for integrable partial differential equations (PDEs) in two dimensions, on chaos in PDEs, on advances in multi-soliton complexes, and on a unified approach to integrable systems via Painleve analysis. This conference provided aforum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering.

Quantum Mechanics of Fundamental Systems 1

Quantum Mechanics of Fundamental Systems 1 PDF Author: Claudio Teitelboim
Publisher: Springer Science & Business Media
ISBN: 1489937285
Category : Science
Languages : en
Pages : 243

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Book Description
Il capitano generale lagrimo per allegrezza e nomino quel capo: Deseado, perehe l'avevamo gia gran tempo desiderato. Antonio Pigafetta Il Primo Viaggo in torno al Mondo I would like to take some poetic license in introducing this volume in a way that seems appropriate for a country, like Chile, that Iooks to the ocean. I believe it was Heisenberg who compared different times in physics with sailing a ship. He said that most of the time we keep our ships in port, or in the protection of a bay. But on a few occasions we go into the open sea, and those occasions are really the great times in theoretical physics, when everything can change. It does not seem totally unwarranted to hope that we are now entering one of those times. In that spirit, I would like to mention a wonderful book, which in English would be called something like Chile, Or a Crazy Geography.