Categorical Topology: Proceedings of the l'Aquila Conference (1994)

ISBN-13: 9789401066020 / Angielski / Miękka / 2011 / 280 str.

Eraldo Giuli

Opis

This issue contains a selected group Qf papers presented during the International Workshop on Categorical Topology held from August 31 - September 4, 1994 at the University of L' Aquila, L' Aquila, Italy. The workshop was organized by the Department of Pure and Applied Mathe- matics of the University of L' Aquila and was made possible by grants from the Department, the University, the Regione Abruzzo and the Cassa Di Risparmio della Provincia de l' Aquila. We wish to thank the officers of the University and public local administrations who facilitated the financial supports. We would also like to thank the INFN (Istituto Nazionale di Fisica Nucleare) for giving the opportunity to all participants to visit the impressive laboratories under Gran Sasso and the major of Roseto who organized a nice party in the garden of the Villa Comunale. The meeting was organized by E. Giuli, H. Herrlich and A. Tozzi and was attended by 45 mathematicians from 11 countries. The program consisted of 34 talks on various aspects of categorical topology. We would like to express our gratitude to the Dean of the Faculty of Science Umberto Villante for the friendly welcome he extended to the participants on behalf of the University of L' Aquila and to the Head of the Department Josef Myjak for his encouragement. Thanks are due to the many referees of the papers presented for publication in this issue for their indispensable assistance in selecting and improving the papers.

Spis treści

Compactness and the Axiom of Choice; H. Herrlich. On Categorical Notions of Compact Objects; M.M. Clementino. Reflective Relatives of Adjunctions; G. Richter. The Katetov Dimension of Proximity Spaces; H.L. Bentley, et al. Generalized Reflective cum Coreflective Classes in Top and Unif; M. Husek, A. Tozzi. On the Largest Coreflective Cartesian Closed Subconstruct of Prtop; E. Lowen-Colebunders, G. Sonck. Topological Spaces and Quasi-Varieties; M. Barr, M.C. Pedicchio. alpha-Sober Spaces via the Orthogonal Closure Operator; L. Sousa. Some Aspects of Topological Descent; M. Sobral. The Pullback Closure Operator and Generalisations of Perfectness; D. Holgate. A Remark on Fixed Points of Functors in Topological Categories; J. Adámek. Concrete Categories Are Concretely Equivalent iff Their Uniquely Transportable Modifications Are Strict Concretely Isomorphic; H-E. Porst. Connectedness, Disconnectedness and Closure Operators, a More General Approach; G. Castellini. Dold Type Theorems in Cubical Homotopy Theory; K.A. Hardie, et al. A Topological Banach Space Model of Linear Logic; H. Kleisli, et al. Parametrizing the Theory of Closure Operators; J. Koslowski. Tychonoff Compactifications and R-completions of Mappings and Rings of Continuous Functions; H.-P.A. Künzi. Disconnectedness: Two Examples; H. Lord. Objects with Dense Diagonals; W. Tholen. Ascoli-Arzelà-Theory Based on Continuous Convergence in an (Almost) Non-Hausdorff Setting; R. Bartsh, et al. A Subcategory of FIL; Á. Császár. Epis in the Category of Pairwise- I2 Spaces; J. Schröder. Clone Segments in Top and in Unif; V. Trnková. Simultaneous Problems of Clone Segments in Top and in Unif; V. Trnková. List ofParticipants.