Categorical Perspectives

"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker's research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas.

Contributors: H.L. Bentley G. Castellini R. El Bashir H. Herrlich M. Husek L. Janos J. Koslowski V.A. Lemin A. Melton G. Preuá Y.T. Rhineghost B.S.W. Schroeder L. Schr"der G.E. Strecker A. Zmrzlina

Contenu

Preface / J. Koslowski and A. Melton Categories: A Free Tour / L. Schröder The Functor that Wouldn't Be / Y.T. Rhineghost The Emergence of Functors / Y.T. Rhineghost Too Many Functors / A. Zmrzlina Contributions and Importance of Professor George Strecker's Research / J. Koslowski 10 Rules for Surviving as a Mathematician and Teacher / G.E. Strecker Connections and Polarities / A. Melton Categorical Closure Operators / G. Castellini Extensions of Maps from Dense Subspaces / H.L. Bentley Characterizations of Subspaces of Important Types of Convergence Spaces in the Realm of Convenient Topology / G. Preuß The Naturals Are Lindelöf iff Ascoli Holds / Y.T. Rhineghost Revisiting the Celebrated Thesis of J. de Groot: 'Everything is Linear' / L. Janos Finite Ultrametric Spaces and Computer Science / V.A. Lemin The Copnumber of a Graph Is Bounded by [3/2 genus(G)] + 3 / B.S.W. Schroeder * Abelian Groups: Simultaneously Reflective and Coreflective Subcategories Versus Modules / R. El Bashir, H. Herrlich, and M. Husek