Author: Phillip Alan HartmanPublisher:
ISBN:
Category : Topology
Languages : en
Pages : 24
Book Description
A New Separation Axiom for Topological Spaces
Author: Phillip Alan HartmanPublisher:
ISBN:
Category : Topology
Languages : en
Pages : 24
Book Description
Separation Axioms, Covering Properties and Inverse Limits Generated by Developable Topological Spaces
Author: Harald BrandenburgPublisher:
ISBN:
Category : Set theory
Languages : en
Pages : 100
Book Description
BASIC CONCEPTS OF SEPARATION AXIOMS
Author: Dr.S.MURUGAMBIGAIPublisher: SK Research Group of Companies
ISBN: 8119980409
Category : Family & Relationships
Languages : en
Pages : 114
Book Description
Dr.S.MURUGAMBIGAI, Associate Professor & Head, Department of Mathematics, Government Arts College, Karur, Tamil Nadu, India.
Topology with Applications
Author: Somashekhar A. NaimpallyPublisher: World Scientific
ISBN: 9814407666
Category : Mathematics
Languages : en
Pages : 294
Book Description
The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.
Separation in Point-Free Topology
Author: Jorge PicadoPublisher: Springer Nature
ISBN: 3030534790
Category : Mathematics
Languages : en
Pages : 296
Book Description
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.
Separation axioms of topological spaces
Author: Roy Dean AlstonPublisher:
ISBN:
Category : Topology
Languages : en
Pages : 74
Book Description
Separation Axioms in Topological Spaces
Author: Robert Kenneth SmartPublisher:
ISBN:
Category : Axions
Languages : en
Pages : 162
Book Description
Author: Robert M. Fox
Author: John Alexander Bond
Author: Elmer Luis Schuman