Overview

Arising from the 1996 Cape Town conference in honour of the mathematician Bernhard Banaschewski, this collection of 30 refereed papers represents current developments in category theory, topology, topos theory, universal algebra, model theory, and diverse ordered and algebraic structures. Banaschewski's influence is reflected here, particularly in the contributions to pointfree topology at the levels of nearness, uniformity, and asymmetry. The unifying theme of the volume is the application of categorical methods. The contributing authors are: D. Baboolar, P. Bankston, R. Betti, D. Bourn, P. Cherenack, D. Dikranjan/H.-P. Kunzi, X. Dong/W. Tholen, M. Erne, T.H. Fay, T.H. Fay/S.V. Joubert, D.N. Georgiou/B.K. Papadopoulos, K.A. Hardie/K.H. Kamps/R.W. Kieboom, H. Herrlich/A. Pultr, K.M. Hofmann, S.S. Hong/Y.K. Kim, J. Isbell, R. Jayewardene/O. Wyler, P. Johnstone, R. Lowen/P. Wuyts, E. Lowen-Colebunders/C. Verbeeck, R. Nailana, J. Picado, T. Plewe, J. Reinhold, G. Richter, H. Rorl, S.-H. Sun, Tozzi/V. Trnkova, V. Valov/D. Vuma, and S. Veldsman. Audience: This volume will be of interest to mathematicians whose research involves category theory and its applications to topology, order, and algebra.

Full Product Details

Author:   Guillaume Brümmer ,  Christopher Gilmour
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2000
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.783kg
ISBN:  

9789048155408

ISBN 10:   9048155401
Pages:   504
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Editorial. Preface. Relatively Parametrizable Subalgebras; J. Isbell. An `Unsitely' Result on Atomic Morphisms; P. Johnstone. Quotient Maps of Locales; T. Plewe. Some Applications of the Ultrapower Theorem to the Theory of Compacta; P. Bankston. Nearness, Subfitness and Sequential Regularity; H. Herrlich, A. Pultr. The Structural Nature of the Nerve Functor for n-Groupoids; D. Bourn. Prime Ideal Theory for General Algebras; M. Erné. An Illustration of the Power of Structure Theory; K.H. Hofmann. Coreflectivity of E-Monads and Algebraic Hulls; G. Richter. Separation and Epimorphisms in Quasi-Uniform Spaces; D. Dikranjan, H.-P. Künzi. A Homotopy 2-Groupoid of a Hausdorff Space; K.A. Hardie, et al. A Complete Classification of the Simultaneously Bireflective and Bicoreflective Subconstructs of Approach Spaces; R. Lowen, P. Wuyts. Exponential Objects in Coreflective or Quotient Reflective Subconstructs: A Comparison; E. Lowen-Colebunders, C. Verbeeck. Completeness and Cocompleteness of RSmod1N; H. Röhrl. Cauchy Complete Nearness Spaces; S.S. Hong, Y.K. Kim. Categories of Relations and Functional Relations; R. Jayewardene, O. Wyler. Weak Equivalence of Internal Categories; R. Betti. Isolated Submodules and Skew Fields; T.H. Fay, S.V. Joubert. Clone Segments of the Tychonoff Modification of Space; A. Tozzi, V. Trnková. Representation of Relations by Partial Maps; X. Dong, W. Tholen. Structured Frames by Weil Entourages; J. Picado. Finite Intervals in the Lattice of Topologies; J. Reinhold. Local Connectedness Made Uniform; D. Baboolal. Frölicher versus Differential Spaces: A Prelude to Cosmology; P. Cherenack. Weakly Hereditary Initial Closure Operators;T.H. Fay. Strongly &ugr;-Continuous Functions and Topologies on Function Spaces. (Strongly) Zero-Dimensional Partially Ordered Spaces; K.R. Nailana. Structure Sheaves for Additive Categories; S.-H. Sun. Lindelöf Degree and Function Spaces; V. Valov, D. Vuma. Connectednesses and Disconnectednesses of Petri Nets; S. Veldsman.

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