Search Results

ENGLISH

Dimension Theory - A Selection Of Theorems And Counterexamples

by Michael G. Charalambous

145,09€ + 10% CARD

 <div>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: Mrowka''s psi-spaces, van Douwen''s technique of assigning limit points to carefully selected sequences, and Fedorchuk''s method of resolutions.<br></div><div> <br> 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.<br></div>
ENGLISH

Spaces Of Continuous Functions

by A.C.M. Van Rooij e G.L.M. Groenewegen

76,84€ + 10% CARD

 The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice.
ENGLISH

Generalized Metric Spaces And Mappings

by Shou Lin e Ziqiu Yun

118,59€ + 10% CARD

 The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces".
ENGLISH

Topological Groups And Related Structures, An Introduction To Topological Algebra.

by Alexander Arhangel'Skii e Mikhail Tkachenko

149,06€ + 10% CARD

 Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles. Topology studies continuity and convergence and provides a general framework to study the concept of a limit. Much of topology is devoted to handling in?nite sets and in?nity itself; the methods developed are qualitative and, in a certain sense, irrational. - gebra studies all kinds of operations and provides a basis for algorithms and calculations. Very often, the methods here are ?nitistic in nature. Because of this difference in nature, algebra and topology have a strong tendency to develop independently, not in direct contact with each other. However, in applications, in higher level domains of mathematics, such as functional analysis, dynamical systems, representation theory, and others, topology and algebra come in contact most naturally. Many of the most important objects of mathematics represent a blend of algebraic and of topologicalstructures. Topologicalfunctionspacesandlineartopologicalspacesingeneral, topological groups and topological ?elds, transformation groups, topological lattices are objects of this kind. Very often an algebraic structure and a topology come naturally together; this is the case when they are both determined by the nature of the elements of the set considered (a group of transformations is a typical example). The rules that describe the relationship between a topology and an algebraic operation are almost always transparentandnatural—theoperationhastobecontinuous,jointlyorseparately.
ENGLISH

Topics In Measure Theory And Real Analysis

by Alexander Kharazishvili

95,40€ + 10% CARD

 This book highlights various topics on measure theory and vividly demonstrates that the different questions of this theory are closely connected with the central measure extension problem. Several important aspects of the measure extension problem are considered separately: set-theoretical, topological and algebraic. Also, various combinations (e.g., algebraic-topological) of these aspects are discussed by stressing their specific features. Several new methods are presented for solving the above mentioned problem in concrete situations. In particular, the following new results are obtained: the measure extension problem is completely solved for invariant or quasi-invariant measures on solvable uncountable groups; non-separable extensions of invariant measures are constructed by using their ergodic components; absolutely non-measurable additive functionals are constructed for certain classes of measures; the structure of algebraic sums of measure zero sets is investigated.The material presented in this book is essentially self-contained and is oriented towards a wide audience of mathematicians (including postgraduate students). New results and facts given in the book are based on (or closely connected with) traditional topics of set theory, measure theory and general topology such as: infinite combinatorics, Martin''s Axiom and the Continuum Hypothesis, Luzin and Sierpinski sets, universal measure zero sets, theorems on the existence of measurable selectors, regularity properties of Borel measures on metric spaces, and so on. Essential information on these topics is also included in the text (primarily, in the form of Appendixes or Exercises), which enables potential readers to understand the proofs and follow the constructions in full details. This not only allows the book to be used as a monograph but also as a course of lectures for students whose interests lie in set theory, real analysis, measure theory and general topology.
ENGLISH

Analytic Inequalities - Recent Advances

by B.G. Pachpatte

118,59€ + 10% CARD

 For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. This title intends to organize progress related to Cebysev, Gruss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities.
ENGLISH

Generalized Metric Spaces And Mappings

by Shou Lin e Ziqiu Yun

89,21€ + 10% CARD

free shipping

 The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces".
ENGLISH

Dimension Theory - A Selection Of Theorems And Counterexamples

by Michael G. Charalambous

106,80€ + 10% CARD

free shipping
ENGLISH

Topics In Measure Theory And Real Analysis

by Alexander B (Georgian Academy Of Sciences, R O Georgia) Kharazishvili

140,60€ + 10% CARD

free shipping
ENGLISH

Topological Groups And Related Structures

by Alexander (Ohio Univ, Usa) Arhangel'Skii e Mikhail (Univ Autonoma Metropolitana, Mexico) Tkachenko

205,49€ + 10% CARD

free shipping

DIDN'T FIND WHAT YOU'RE LOOKING FOR?

Browse by the menu categories.

Check the search criteria in help .

Finally, if needed, use the we'll search for you .