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Author: Z. Frolík
Publisher: Academic Press
ISBN: 1483223531
Category : Mathematics
Languages : en
Pages : 366
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Book Description
General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.
Author: Z. Frolík
Publisher: Academic Press
ISBN: 1483223531
Category : Mathematics
Languages : en
Pages : 366
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Book Description
General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.
Author: R.A. Alo
Publisher: Springer
ISBN: 3540383239
Category : Mathematics
Languages : en
Pages : 669
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Book Description
Sponsored by Carnegie-Mellon University and the University of Pittsburgh
Author: Stephen Lipscomb
Publisher: Springer Science & Business Media
ISBN: 0387854940
Category : Mathematics
Languages : en
Pages : 259
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Book Description
Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric). The classical theory is now well documented in several books. This monograph is the first book to unify the modern theory from 1960-2007. Like the classical theory, the modern theory fundamentally involves the unit interval. Unique features include: * The use of graphics to illustrate the fractal view of these spaces; * Lucid coverage of a range of topics including point-set topology and mapping theory, fractal geometry, and algebraic topology; * A final chapter contains surveys and provides historical context for related research that includes other imbedding theorems, graph theory, and closed imbeddings; * Each chapter contains a comment section that provides historical context with references that serve as a bridge to the literature. This monograph will be useful to topologists, to mathematicians working in fractal geometry, and to historians of mathematics. Being the first monograph to focus on the connection between generalized fractals and universal spaces in dimension theory, it will be a natural text for graduate seminars or self-study - the interested reader will find many relevant open problems which will create further research into these topics.
Author: KATETOV
Publisher: Birkhäuser
ISBN: 303487524X
Category : Mathematics
Languages : en
Pages : 445
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Book Description
The work of Professor Eduard Cech had a si~ificant influence on the development of algebraic and general topology and differential geometry. This book, which appears on the occasion of the centenary of Cech's birth, contains some of his most important papers and traces the subsequent trends emerging from his ideas. The body of the book consists of four chapters devoted to algebraic topology, Cech-Stone compactification, dimension theory and differential geometry. Each of these includes a selection of Cech's papers, a brief summary of some results which followed from his work or constituted solutions to the problems he posed, and several selected papers by various authors concerning the areas of study he initiated. The book also contains a concise biography borrowed with minor changes from the book Topological papers of E. tech, a list of Cech's publications and a very brief note on his activity in the didactics of mathematics. The editors wish to express their sincere gratitude to all who contributed to the completion and publication of this book.
Author: A.V. Arkhangel'skii
Publisher: Springer Science & Business Media
ISBN: 3642612652
Category : Mathematics
Languages : en
Pages : 210
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Book Description
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines.
Author:
Publisher: American Mathematical Soc.
ISBN: 9780821895467
Category : Mathematics
Languages : en
Pages : 138
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Book Description
Author: Jagdish N. Srivastava
Publisher: Elsevier
ISBN: 1483278174
Category : Biography & Autobiography
Languages : en
Pages : 476
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Book Description
A Survey of Combinatorial Theory covers the papers presented at the International Symposium on Combinatorial Mathematics and its Applications, held at Colorado State University (CSU), Fort Collins, Colorado on September 9-11, 1971. The book focuses on the principles, operations, and approaches involved in combinatorial theory, including the Bose-Nelson sorting problem, Golay code, and Galois geometries. The selection first ponders on classical and modern topics in finite geometrical structures; balanced hypergraphs and applications to graph theory; and strongly regular graph derived from the perfect ternary Golay code. Discussions focus on perfect ternary Golay code, finite projective and affine planes, Galois geometries, and other geometric structures. The book then examines the characterization problems of combinatorial graph theory, line-minimal graphs with cyclic group, circle geometry in higher dimensions, and Cayley diagrams and regular complex polygons. The text discusses combinatorial problems in finite Abelian groups, dissection graphs of planar point sets, combinatorial problems and results in fractional replication, Bose-Nelson sorting problem, and some combinatorial aspects of coding theory. The text also reviews the enumerative theory of planar maps, balanced arrays and orthogonal arrays, existence of resolvable block designs, and combinatorial problems in communication networks. The selection is a valuable source of information for mathematicians and researchers interested in the combinatorial theory.
Author: Stephen Willard
Publisher: Courier Corporation
ISBN: 0486131785
Category : Mathematics
Languages : en
Pages : 386
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Book Description
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.
Author: Carolyn Brooks
Publisher: Fernwood Publishing
ISBN: 1773635247
Category : Social Science
Languages : en
Pages : 465
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Book Description
**Includes test bank and PowerPoint slides for professors who have adopted the text in their course. Contact
[email protected] for more information. ** This well-received criminology textbook, now in its third edition, argues that crime must be understood as both a social and a political phenomenon. Using this lens, Marginality and Condemnation contends that what is defined as criminal, how we respond to “crime” and why individuals behave in anti-social ways are often the result of individual and systemic social inequalities and disparities in power. Beginning with an overview of criminological discourse, mainstream approaches and new directions in criminological theory, the book is then divided into sections, based on key social inequalities of class, gender, race and age, each of which begins with an outline of the general issues for understanding crime and an introduction that guides readers through the empirical chapters that follow. The studies provide insights into general issues in criminology, ranging from the historical and current nature of crime and criminal justice to the various responses to criminality. Readers are encouraged and challenged to understand crime and justice through concrete analyses rather than abstract argumentation. In addition to a new introductory chapter that confronts how we define crime, measure crime, and understand and use criminology in this millennium, the third edition provides new chapters examining crime in relation to the environment, terrorism, masculinity, children and youth, and Aboriginal gangs and the legacy of colonialism.
Author:
Publisher: UM Libraries
ISBN:
Category : Education, Higher
Languages : en
Pages : 1092
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Book Description
