Papers in Honour of Bernhard Banaschewski

Proceedings of the BB Fest 96, a Conference Held at the University of Cape Town, 15–20 July 1996, on Category Theory and its Applications to Topology, Order and Algebra

Inbunden, Engelska, 2000

Av Guillaume Brümmer, Christopher Gilmour

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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.

Produktinformation

Utgivningsdatum2000-10-31
Mått156 x 234 x 33 mm
Vikt934 g
FormatInbunden
SpråkEngelska
Antal sidor504
FörlagKluwer Academic Publishers
ISBN9780792365198

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Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Matematikens grunder inom Naturvetenskap och teknik

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.