Author: George M. Reed

Publisher: Academic Press

ISBN: 148326386X

Category: Mathematics

Page: 572

View: 6461

Skip to content
# Nothing Found

### Surveys in General Topology

Surveys in General Topology presents topics relating to general topology ranging from closed mappings and ultrafilters to covering and separation properties of box products. Ordered topological spaces and the use of combinatorial techniques in functional analysis are also considered, along with product spaces and weakly compact subsets of Banach spaces. Applications of stationary sets in topology are presented as well. Comprised of 15 chapters, this volume begins with an analysis of some of the techniques and results in the area of closed mappings, followed by a discussion on the theory of ultrafilters. The reader is then introduced to the question of when a box product of compact spaces is paracompact, and how badly a box product of compact or metrizable spaces can fail to be normal. Subsequent chapters focus on the transfinite dimension; the properties of metacompactness, submetacompactness, and subparacompactness; the dimension of ordered topological spaces; the use of combinatorial techniques for the treatment and solution of fundamental problems in functional analysis, particularly in the isomorphic theory of Banach spaces; and order-theoretic base axioms. This monograph will be of significant value both to researchers in general topology and to mathematicians outside the field who wish an overview of current topics and techniques.

### Recent Progress in General Topology II

The book presents surveys describing recent developments in most of the primary subfields of General Topology and its applications to Algebra and Analysis during the last decade. It follows freely the previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared in connection with the Prague Topological Symposium, held in 2001. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs slightly from those chosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (including Infinite-Dimensional Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as: R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.

### Handbook of the History of General Topology

This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

### Recent Progress in General Topology III

The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

### A Selective Survey of Axiom-sensitive Results in General Topology

### Fundamentals of General Topology

### Topology I

This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research.

### Questions and Answers in General Topology

### Open Problems in Topology II

This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world

### General topology and its relations to modern analysis and algebra VI

### Pseudocompact Topological Spaces

This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces. In 1948, E. Hewitt introduced the concept of pseudocompactness which generalizes a property of compact subsets of the real line. A topological space is pseudocompact if the range of any real-valued, continuous function defined on the space is a bounded subset of the real line. Pseudocompact spaces constitute a natural and fundamental class of objects in General Topology and research into their properties has important repercussions in diverse branches of Mathematics, such as Functional Analysis, Dynamical Systems, Set Theory and Topological-Algebraic structures. The collection of authors of this volume include pioneers in their fields who have written a comprehensive explanation on this subject. In addition, the text examines new lines of research that have been at the forefront of mathematics. There is, as yet, no text that systematically compiles and develops the extensive theory of pseudocompact spaces, making this book an essential asset for anyone in the field of topology.

### Surveys in Contemporary Mathematics

A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

### Algebraic Topology

Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.

### General Topology

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.

### Surveys in Noncommutative Geometry

In June 2000, the Clay Mathematics Institute organized an Instructional Symposium on Noncommutative Geometry in conjunction with the AMS-IMS-SIAM Joint Summer Research Conference. These events were held at Mount Holyoke College in Massachusetts from June 18 to 29, 2000. The Instructional Symposium consisted of several series of expository lectures which were intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Those expository lectures have been edited and are reproduced in this volume. The lectures of Rosenberg and Weinberger discuss various applications of noncommutative geometry to problems in ``ordinary'' geometry and topology. The lectures of Lagarias and Tretkoff discuss the Riemann hypothesis and the possible application of the methods of noncommutative geometry in number theory. Higson gives an account of the ``residue index theorem'' of Connes and Moscovici. Noncommutative geometry is to an unusual extent the creation of a single mathematician, Alain Connes. The present volume gives an extended introduction to several aspects of Connes' work in this fascinating area.

### Encyclopaedia of Mathematics

### General Topology and Applications

### Surveys in Combinatorics, 1999

This volume, first published in 1999, is a valuable resource on combinatorics for graduate students and researchers.

### Russian Mathematical Surveys

### The Renaissance of General Relativity and Cosmology

The past forty years have been a time of spectacular development in the study of general relativity and cosmology. A special role in this has been played by the influential research groups led by Dennis Sciama in Cambridge, Oxford, and Trieste. In April 1992 many of his ex-students and collaborators came to Trieste (where he is currently Professor) for a review meeting to celebrate his 65th birthday. This book consists of written versions of the talks presented which, taken together, comprise an authoritative overview of developments which have taken place during his career to date. The topics covered include fundamental questions in general relativity and cosmology, black holes, active galactic nuclei, galactic structure, dark matter, and large scale structure.

Full PDF eBook Download Free

Author: George M. Reed

Publisher: Academic Press

ISBN: 148326386X

Category: Mathematics

Page: 572

View: 6461

Author: Miroslav Hušek,J. van Mill

Publisher: Elsevier

ISBN: 0444509801

Category: Mathematics

Page: 638

View: 5191

Author: C.E. Aull,R. Lowen

Publisher: Springer Science & Business Media

ISBN: 9401717567

Category: Mathematics

Page: 410

View: 714

Author: K.P. Hart,J. van Mill,P. Simon

Publisher: Springer Science & Business Media

ISBN: 946239024X

Category: Mathematics

Page: 903

View: 3888

Author: H. R. Bennett,T. G. McLaughlin,R. C. Woodcock

Publisher: N.A

ISBN: N.A

Category: Axiomatic set theory

Page: 113

View: 680

*Problems and Exercises*

Author: A.V. Arkhangel'skii,V.I. Ponomarev

Publisher: Springer Science & Business Media

ISBN: 9781402003080

Category: Mathematics

Page: 416

View: 6280

*General Survey*

Author: S.P. Novikov

Publisher: Springer Science & Business Media

ISBN: 3662105799

Category: Mathematics

Page: 322

View: 2528

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Topology

Page: N.A

View: 5595

Author: Elliott M. Pearl

Publisher: Elsevier

ISBN: 9780080475295

Category: Mathematics

Page: 776

View: 1860

*proceedings of the Sixth Prague Topological Symposium, 1986*

Author: Zdeněk Frolík

Publisher: N.A

ISBN: 9783885382164

Category: Algebra

Page: 728

View: 8996

*A Survey of Classic and New Results with Open Problems*

Author: Michael Hrušák,Ángel Tamariz-Mascarúa,Mikhail Tkachenko

Publisher: Springer

ISBN: 3319916807

Category: Mathematics

Page: 299

View: 3664

Author: Nicholas Young,Yemon Choi

Publisher: Cambridge University Press

ISBN: 0521705649

Category: Mathematics

Page: 361

View: 1102

*Homology and Cohomology*

Author: Andrew H. Wallace

Publisher: Courier Corporation

ISBN: 0486462390

Category: Mathematics

Page: 272

View: 9205

Author: Stephen Willard

Publisher: Courier Corporation

ISBN: 9780486434797

Category: Mathematics

Page: 369

View: 9267

*Proceedings from the Clay Mathematics Institute Instructional Symposium, Held in Conjuction with the AMS-IMS-SIAM Joint Summer Research Conference on Noncommutative Geometry, June 18-29, 2000, Mount Holyoke College, South Hadley, MA*

Author: Nigel Higson,John Roe

Publisher: American Mathematical Soc.

ISBN: 9780821838464

Category: Mathematics

Page: 189

View: 4472

*An Updated and Annotated Translation of the Soviet "Mathematical Encyclopaedia"*

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 1833

Author: Andima

Publisher: CRC Press

ISBN: 9780824785529

Category: Mathematics

Page: 440

View: 8302

Author: J. D. Lamb,D. A. Preece,Donald Arthur Preece,N. J. Hitchin

Publisher: Cambridge University Press

ISBN: 9780521653763

Category: Mathematics

Page: 298

View: 5011

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 9533

*A Survey to Celebrate the 65th Birthday of Dennis Sciama*

Author: George Ellis,Antonio Lanza,John Miller

Publisher: Cambridge University Press

ISBN: 9780521021081

Category: Science

Page: 344

View: 7261