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Dimension Theory, Michael G. Charalambous


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Автор: Michael G. Charalambous
Название:  Dimension Theory
ISBN: 9783030222314
Издательство: Springer
Классификация:


ISBN-10: 3030222314
Обложка/Формат: Hardcover
Страницы: 261
Вес: 0.58 кг.
Дата издания: 2019
Серия: Atlantis Studies in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, black and white; x, 261 p. 1 illus.
Размер: 234 x 156 x 16
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: A Selection of Theorems and Counterexamples
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowkas psi-spaces, van Douwens technique of assigning limit points to carefully selected sequences, and Fedorchuks method of resolutions.
Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers.

Дополнительное описание: - Topological Spaces. - The Three Main Dimension Functions. - The Countable Sum Theorem for Covering Dimension. - Urysohn Inequalities. - The Dimension of Euclidean Spaces. - Connected Components and Dimension. - Factorization and Compactification Theorem


Topological Dimension and Dynamical Systems

Автор: Michel Coornaert
Название: Topological Dimension and Dynamical Systems
ISBN: 3319197932 ISBN-13(EAN): 9783319197937
Издательство: Springer
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Цена: 46570.00 T
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Описание: 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.

Fractal Dimension for Fractal Structures

Автор: Manuel Fern?ndez-Mart?nez; Juan Luis Garc?a Guirao
Название: Fractal Dimension for Fractal Structures
ISBN: 3030166449 ISBN-13(EAN): 9783030166441
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts. In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithms for properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and L?vy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes.This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.

Topology and Geometry in Dimension Three: Triangulations, Invariants, and Geometric Structures : Conference in Honor of William Jaco`s 70th Birthday, ... Stillwater, OK (Contemporary Mathematics)

Автор: Bartolini Li
Название: Topology and Geometry in Dimension Three: Triangulations, Invariants, and Geometric Structures : Conference in Honor of William Jaco`s 70th Birthday, ... Stillwater, OK (Contemporary Mathematics)
ISBN: 0821852957 ISBN-13(EAN): 9780821852958
Издательство: Mare Nostrum (Eurospan)
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Цена: 72990.00 T
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Описание: Aptly named `Television`s First Lady` by Walter Ames of the Los Angeles Times, actress Beverly Garland (1926-2008) is also regarded as a Western and science-fiction film icon. In addition to more than 700 TV appearances, she made more than 55 feature and made-for-television films. This comprehensive biography includes a foreword and afterword by her colleagues Joseph Campanella and Peggy Webber.

Covering Dimension of C*-Algebras and 2-Coloured Classification

Автор: Joan Bosa, Nathanial P. Brown, Yasuhiko Sato, Aaron Tikuisis, Stuart White
Название: Covering Dimension of C*-Algebras and 2-Coloured Classification
ISBN: 1470434709 ISBN-13(EAN): 9781470434700
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
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Описание: Introduces the concept of finitely coloured equivalence for unital $^*$-homomorphisms between $\mathrm C^*$-algebras, for which unitary equivalence is the $1$-coloured case.

Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two

Автор: Yulia Karpeshina, Roman Shterenberg
Название: Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two
ISBN: 1470435438 ISBN-13(EAN): 9781470435431
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
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Описание: Considers a Schrodinger operator $H=-\Delta +V(\vec x)$ in dimension two with a quasi-periodic potential $V(\vec x)$. The authors prove that the absolutely continuous spectrum of $H$ contains a semiaxis and there is a family of generalized eigenfunctions at every point of this semiaxis with the following properties.

Analysis in Dimension 1

Автор: Matthias Mo?burger
Название: Analysis in Dimension 1
ISBN: 3834818941 ISBN-13(EAN): 9783834818942
Издательство: Springer
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Цена: 24370.00 T
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Описание: Das Buch umfasst die wesentlichen Inhalte der Analysis-Vorlesungen im ersten Semester. Auf zusдtzliche Inhalte wird weitgehend verzichtet, damit mehr Platz fьr ausfьhrliche Erklдrungen bleibt. Dabei soll mцglichst wenig nur auf Vorrat gelernt werden. Vielmehr gilt: Neue Inhalte werden entwickelt, weil sie Fragen beantworten.
Viele der Fragen ergeben sich aus der Schule, werden vertieft, und mit Mitteln der Hochschule beantwortet. Die Hochschul-Analysis wird also als eine natьrliche Weiterentwicklung und Vertiefung der Schul-Analysis dargestellt. Damit soll das Problem entschдrft werden, dass viele Studienanfдnger die Hochschul-Mathematik als etwas sehr Fremdes erleben.
Das Buch enthдlt zahlreiche Beispiele, Abbildungen und Aufgaben mit Lцsungen.


Geometric Function Theory in Higher Dimension

Автор: Bracci
Название: Geometric Function Theory in Higher Dimension
ISBN: 3319731254 ISBN-13(EAN): 9783319731254
Издательство: Springer
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Цена: 71730.00 T
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Описание: The book collects the most relevant outcomes from the INdAM Workshop "Geometric Function Theory in Higher Dimension" held in Cortona on September 5-9, 2016. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics.

Dynamics in One Dimension

Автор: Louis S. Block; William A. Coppel
Название: Dynamics in One Dimension
ISBN: 3540553096 ISBN-13(EAN): 9783540553090
Издательство: Springer
Рейтинг:
Цена: 41920.00 T
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Описание: The behaviour under iteration of unimodal maps of aninterval, such as the logistic map, has recently attractedconsiderable attention. It is not so widely known that asubstantial theory has by now been built up for arbitrarycontinuous maps of an interval.

Differential Algebraic Groups of Finite Dimension

Автор: Alexandru Buium
Название: Differential Algebraic Groups of Finite Dimension
ISBN: 3540551816 ISBN-13(EAN): 9783540551812
Издательство: Springer
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Цена: 23250.00 T
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Описание: This text aims to provide an introduction to differential algebraic groups, and to supply a structure and classification theory for the finite dimensional ones.

Stochastic Optimal Control in Infinite Dimension

Автор: Giorgio Fabbri; Fausto Gozzi; Andrzej ?wi?ch; Marc
Название: Stochastic Optimal Control in Infinite Dimension
ISBN: 3319530666 ISBN-13(EAN): 9783319530666
Издательство: Springer
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Цена: 158380.00 T
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Описание: With a Contribution by M. Fuhrman and G. Tessitore

Dimension Theory (PMS-4)

Автор: Hurewicz Witold, Wallman Henry
Название: Dimension Theory (PMS-4)
ISBN: 0691627746 ISBN-13(EAN): 9780691627748
Издательство: Wiley
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Цена: 31680.00 T
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Описание:

Book 4 in the Princeton Mathematical Series.

Originally published in 1941.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



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