Categorical Algebra and its Applications Proceedings of a Conference
Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, alg
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1348 F. Borceux
(Ed.)
Categorical Algebra and its Applications Proceedings of a Conference, held in Louvain-La-Neuve, Belgium, July 26 - August 1, 1987
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editor
Francis Borceux Departement de Mathematiques, Universite Catholique de Louvain 2 chemin du Cyclotron, 1348 Louvain-La-Neuve, Belgium
Mathematics Subject Classification (1980): 18-06 ISBN 3-540-50362-5 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-50362-5 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1988 Printed in Germany Printing and binding: Druckhaus Beltz, Hernsbach/Berqstr. 2146/3140-543210
INTRODUCTION The first Louvain-la-Neuve Conference on Categorical Algebra and its Applications has been held in Louvain-la-Neuve (Belgium) from July 26 to August 1, 1988. The organizing committee was composed of: J. Adamek (Prague, Czecoslovakia) A. Kock (Aarhus, Denmark) F.W. Lawvere (Buffalo, USA) R. Walters (Sydney, Australia). The local organizers were: F. Borceux (Louvain-la-Neuve, Belgium) F. Waninier (Leuven, Belgium) 128 persons did take part in the Conference and 96 of them did deliver a talk. The organizers would like to express their gratitude to the various organisms who did support financially the meeting and therefore made it accessible to a very large international audience: Le Fonds National de la Recherche Scientifique L'Universite Catholique de Louvain De Katholieke Universiteit te Leuven Le Centre Belge de Recherches en Mathematiques Le Centre National de Recherches en Logique Apple Computer Les commercants de Louvain-la-Neuve. The proceedings volume has been realized with the competent collaboration of 46 referees who did study carefully as many papers; the editor expresses his gratitude to all of them. The material submitted for these proceedings represented not far from 800 pages. Since just half of this material could be published, some very painful choices had to be made and it is certainly a pity that some good papers had to be rejected; the editor hopes they will find a good home somewhere else.
TABLE OF CONTENTS
J. Adamek, J. Rosicky, V. 'Irnkova; Are all limit-closed subcategories of . 1
locally presentable categories reflective?
M. Barr; On categories with effective unions. F . Borceux
t, J. Pelletier;
19
Descent theory for Banach modules.
36
D. Bourn; Pseudofunctors and non-abelian weak equivalences.
55
A.M. Cegarra, A.R. Garzon, P. Carrasco; An exact
