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Author : Richard N. Ball,Joanne Walters-Wayland
Publisher : Unknown
Page : 70 pages
File Size : 41,5 Mb
Release : 2002
Category : Algebraic topology
ISBN : STANFORD:36105113092030
Author : Jorge Picado,Aleš Pultr
Publisher : Springer Nature
Page : 296 pages
File Size : 46,5 Mb
Release : 2021-02-01
Category : Mathematics
ISBN : 9783030534790
This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspiration for her/his further work. The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.
Author : Jorge Picado,Aleš Pultr
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 43,9 Mb
Release : 2011-10-21
Category : Mathematics
ISBN : 9783034801546
Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.
Author : Arno van den Essen
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 53,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401585552
Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
Author : Anonim
Publisher : Unknown
Page : 506 pages
File Size : 42,6 Mb
Release : 2006
Category : Mathematics
ISBN : UOM:39015068696767
Author : Marco Andreatta,Massimiliano Mella
Publisher : Unknown
Page : 78 pages
File Size : 42,5 Mb
Release : 2003
Category : Adjunction theory
ISBN : STANFORD:36105113094085
Author : Sidney A. Morris
Publisher : MDPI
Page : 229 pages
File Size : 49,8 Mb
Release : 2018-09-27
Category : Electronic books
ISBN : 9783038422686
This book is a printed edition of the Special Issue "Topological Groups: Yesterday, Today, Tomorrow" that was published in Axioms
Author : Klas Diederich
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 47,7 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783322868565
This volume contains the Proceedings of the International Workshop "Complex Analysis", which was held from February 12-16, 1990, in Wuppertal (Germany) in honour of H. Grauert, one of the most creative mathematicians in Complex Analysis of this century. In complete accordance with the width of the work of Grauert the book contains research notes and longer articles of many important mathematicians from all areas of Complex Analysis (Altogether there a re 49 articles in the volume). Some of the main subjects are: Cau chy-Riemann Equations with estimates, q-convexity, CR structures, deformation theory, envelopes of holomorphy, function algebras, complex group actions, Hodge theory, instantons, Kähler geometry, Lefschetz theorems, holomorphic mappings, Nevanlinna theory, com plex singularities, twistor theory, uniformization.
Author : Burkard Polster,Gu nter Steinke
Publisher : Cambridge University Press
Page : 518 pages
File Size : 55,6 Mb
Release : 2001-10-03
Category : Mathematics
ISBN : 0521660580
Both a reference and an introduction on the main results about topological geometries on surfaces.
Author : Ralph Kummetz
Publisher : Unknown
Page : 158 pages
File Size : 55,8 Mb
Release : 2004
Category : Lattice theory
ISBN : STANFORD:36105115149010
Author : Gene Freudenburg
Publisher : Springer Science & Business Media
Page : 261 pages
File Size : 49,8 Mb
Release : 2007-07-18
Category : Mathematics
ISBN : 9783540295235
This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings. The book also includes a wealth of pexamples and open problems.
Author : John M. Bryden
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 54,8 Mb
Release : 2007-09-27
Category : Mathematics
ISBN : 9781402027727
This volume is the conference proceedings of the NATO ARW during August 2001 at Kananaskis Village, Canada on 'New Techniques in Topological Quantum Field Theory'. This conference brought together specialists from a number of different fields all related to Topological Quantum Field Theory. The theme of this conference was to attempt to find new methods in quantum topology from the interaction with specialists in these other fields. The featured articles include papers by V. Vassiliev on combinatorial formulas for cohomology of spaces of Knots, the computation of Ohtsuki series by N. Jacoby and R. Lawrence, and a paper by M. Asaeda and J. Przytycki on the torsion conjecture for Khovanov homology by Shumakovitch. Moreover, there are articles on more classical topics related to manifolds and braid groups by such well known authors as D. Rolfsen, H. Zieschang and F. Cohen.
Author : Anonim
Publisher : Unknown
Page : 756 pages
File Size : 43,5 Mb
Release : 2005
Category : Mathematics
ISBN : UOM:39015060969022
Author : Henri Poincar\'e
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 42,9 Mb
Release : 2010
Category : Algebraic topology
ISBN : 9780821852347
I am a proud owner of the original complete works in green leather in French bought for a princely sum in Paris around 1975. I have read in them exten-sively, and often during topology lectures I refer to parts of these works. I am happy that there is now the option for my students to read them in English---Dennis Sullivan --Book Jacket.
Author : Martin Ondreját
Publisher : Unknown
Page : 72 pages
File Size : 43,9 Mb
Release : 2004
Category : Banach spaces
ISBN : STANFORD:36105115149002