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Topology
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov comp…
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- 978-3-319-16958-3
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Topologie algébrique Chapitres 1 à 4
Ce livre des Éléments de mathématique est consacré à la Topologie algébrique. Les quatre premiers chapitres présentent la théorie des revêtements d'un espace topologique et du groupe de Poincaré. On construit le revêtement universel d'un espace connexe pointé délaçable et on établit l'équivalence de catégories entre revêtements de cet espace et actions du groupe de Poincaré. …
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- 978-3-662-49361-8
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Topological and Statistical Methods for Complex Data Tackling Large-Scale, H…
This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data. The book presents new met…
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- 978-3-662-44900-4
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Topological States on Interfaces Protected by Symmetry
In this book, the author theoretically studies two aspects of topological states. First, novel states arising from hybridizing surface states of topological insulators are theoretically introduced. As a remarkable example, the author shows the existence of gapless interface states at the interface between two different topological insulators, which belong to the same topological phase. While…
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- 978-4-431-55534-6
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Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and …
This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue proble…
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- 978-3-319-31948-3
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Topological Dimension and Dynamical Systems
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems i…
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- 978-3-319-19794-4
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Topics on Methodological and Applied Statistical Inference
This book brings together selected peer-reviewed contributions from various research fields in statistics, and highlights the diverse approaches and analyses related to real-life phenomena. Major topics covered in this volume include, but are not limited to, bayesian inference, likelihood approach, pseudo-likelihoods, regression, time series, and data analysis as well as applications in the…
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- 978-3-319-44093-4
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Topics in Theoretical and Applied Statistics
This book highlights the latest research findings from the 46th International Meeting of the Italian Statistical Society (SIS) in Rome, during which both methodological and applied statistical research was discussed. This selection of fully peer-reviewed papers, originally presented at the meeting, addresses a broad range of topics, including the theory of statistical inference; data mining and…
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- 978-3-319-27274-0
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Improving Energy Decisions: Towards Better Scientific Policy Advice for a Saf…
Managing a successful transition of the current energy supply system to less carbon emitting options, ensuring a safe and secure supply during the whole process and in the long term, is one of the largest challenges of our time. Various approaches and first implementations show that it is not only technological issue, but also a matter of societal acceptance and acceptability, considering basic…
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- 978-3-319-11345-6
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- XLIII, 257
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- 338 IMP
Improvement Measures of Urban Thermal Environment
Maximizing readers’ insights into urban and architectural environmental planning with consideration for the thermal environment, this work highlights how various urban heat-island strategies have been developed and their effectiveness in urban areas. Specific measures to combat the urban heat-island phenomenon, including improvement of surface cover, reduction of exhaust heat, improvement of …
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- 978-3-319-13784-1
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- IX, 42
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- 338 TAK i
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