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9780792365198

Papers in Honour of Bernhard Banaschewski

by ; ;
  • ISBN13:

    9780792365198

  • ISBN10:

    0792365194

  • Format: Hardcover
  • Copyright: 2000-10-01
  • Publisher: Kluwer Academic Pub
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Summary

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. Künzi, X. Dong/W. Tholen, M. Ernè, 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. Rörl, S.-H. Sun, Tozzi/V. Trnkovà, 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.

Table of Contents

Preface 1(2)
Relatively Parametrizable Subalgebras
3(4)
John Isbell
An `Unsitely' Result on Atomic Morphisms
7(10)
Peter Johnstone
Quotient Maps of Locales
17(28)
Till Plewe
Some Applications of the Ultrapower Theorem to the Theory of Compacta
45(22)
Paul Bankston
Nearness, Subfitness and Sequential Regularity
67(14)
H. Herrlich
A. Pultr
The Structural Nature of the Nerve Functor for n-Groupoids
81(34)
Dominique Bourn
Prime Ideal Theory for General Algebras
115(30)
Marcel Erne
An Illustration of the Power of Structure Theory
145(16)
Karl H. Hofmann
Coreflectivity of E-Monads and Algebraic Hulls
161(14)
Gunther Richter
Separation and Epimorphisms in Quasi-Uniform Spaces
175(34)
Dikran Dikranjan
Hans-Peter Kunzi
A Homotopy 2-Groupoid of a Hausdorff Space
209(26)
K. A. Hardie
K. H. Kamps
R. W. Kieboom
A Complete Classification of the Simultaneously Bireflective and Bicoreflective Subconstructs of Approach Spaces
235(12)
R. Lowen
P. Wuyts
Exponential Objects in Coreflective or Quotient Reflective Subconstructs: A Comparison
247(10)
E. Lowen-Colebunders
C. Verbeeck
Completeness and Cocompleteness of RSmod1N
257(14)
Helmut Rohrl
Cauchy Complete Nearness Spaces
271(8)
Sung Sa Hong
Young Kyoung Kim
Categories of Relations and Functional Relations
279(28)
Romaine Jayewardene
Oswald Wyler
Weak Equivalence of Internal Categories
307(10)
Renato Betti
Isolated Submodules and Skew Fields
317(10)
Temple H. Fay
Stephan V. Joubert
Clone Segments of the Tychonoff Modification of Space
327(12)
A. Tozzi
V. Trnkova
Representation of Relations by Partial Maps
339(12)
Xiaomin Dong
Walter Tholen
Structured Frames by Weil Entourages
351(16)
Jorge Picado
Finite Intervals in the Lattice of Topologies
367(10)
Jurgen Reinhold
Local Connectedness Made Uniform
377(14)
D. Baboolal
Frolicher versus Differential Spaces: A Prelude to Cosmology
391(24)
Paul Cherenack
Weakly Hereditary Initial Closure Operators
415(18)
Temple H. Fay
Strongly ν-Continuous Functions and Topologies on Function Spaces
433(12)
D. N. Georgiou
B. K. Papadopoulos
(Strongly) Zero-Dimensional Partially Ordered Spaces
445(12)
K. R. Nailana
Structure Sheaves for Additive Categories
457(18)
Shu-Hao Sun
Lindelof Degree and Function Spaces
475(10)
Vesko Valov
Dumisani Vuma
Connectednesses and Disconnectednesses of Petri Nets
485
Stefan Veldsman

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