Download or read book C and C quotients in Pointfree Topology written by Richard N. Ball and published by . This book was released on 2002 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Separation in Point Free Topology written by Jorge Picado and published by Springer Nature. This book was released on 2021-02-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Frames and Locales written by Jorge Picado and published by Springer Science & Business Media. This book was released on 2011-10-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Complex Analysis written by Klas Diederich and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Papers on Topology written by and published by American Mathematical Soc.. This book was released on with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Theory of Locally Nilpotent Derivations written by Gene Freudenburg and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Automorphisms of Affine Spaces written by Arno van den Essen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Reconstruction of Manifolds and Subsets of Normed Spaces from Subgroups of Their Homeomorphism Groups written by Matatyahu Rubin and published by . This book was released on 2005 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Basic Algebraic Topology written by Anant R. Shastri and published by CRC Press. This book was released on 2016-02-03 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si
Download or read book Convergence and Integrability for Some Classes of Trigonometric Series written by Živorad Tomovski and published by . This book was released on 2003 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Developments in the Inverse Galois Problem written by Jointsummerresearchconf Onrecentdevel Intheinverse and published by American Mathematical Soc.. This book was released on 1995-07-30 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, held in July 1993 at the University of Washington, Seattle. A new review of Serre's Topics in Galois Theory serves as a starting point. The book describes the latest research on explicit presentation of the absolute Galois group of the rationals. Containing the first appearance of generalizations of modular curves, the book presents applications that demonstrate the full scope of the Inverse Galois Problem. In particular, the papers collected here show the ubiquity of the applications of the Inverse Galois Problem and its compelling significance. The book will serve as a guide to progress on the Inverse Galois Problem and as an aid in using this work in other areas of mathematics. This includes coding theory and other finite field applications. Group theory and a first course in algebraic curves are sufficient for understanding many papers in the volume. Graduate students will find this an excellent reference to current research, as it contains a list of problems appropriate for thesis material in arithmetic geometry, algebraic number theory, and group theory.
Download or read book Groups Acting on Hyperbolic Space written by Juergen Elstrodt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauß had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten sion of index 2 of the group PSL(2,
Download or read book Analysis Geometry and Probability written by Rajendra Bhatia and published by Springer. This book was released on 1997-04-15 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of expository articles by well-known mathematicians. Some of them introduce the reader to a major topic, while others provide a glimpse into an active field of research. All articles are accessible to graduate students. The articles were invited in honour of K. R. Parthasarathy, a mathematican, teacher and expositor of renown. Some of the articles, by his coworkers, are related to his work on probability, quantum probability and group representations. Others are on diverse topics in analysis, geometry and number theory.
Download or read book Quaestiones Mathematicae written by and published by . This book was released on 2007 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Partially Ordered Sets with Projections and Their Topology written by Ralph Kummetz and published by . This book was released on 2004 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Semigroups in Complete Lattices written by Patrik Eklund and published by Springer. This book was released on 2018-06-09 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a modern introduction to the theory of quantales. First coined by C.J. Mulvey in 1986, quantales have since developed into a significant topic at the crossroads of algebra and logic, of notable interest to theoretical computer science. This book recasts the subject within the powerful framework of categorical algebra, showcasing its versatility through applications to C*- and MV-algebras, fuzzy sets and automata. With exercises and historical remarks at the end of each chapter, this self-contained book provides readers with a valuable source of references and hints for future research. This book will appeal to researchers across mathematics and computer science with an interest in category theory, lattice theory, and many-valued logic.
Download or read book Probability Interpolating Between Free and Boolean written by Łukasz Wojakowski and published by . This book was released on 2007 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
