1.

Record Nr.

UNINA9910451349603321

Titolo

Categorical structures and their applications [[electronic resource] ] : proceedings of the North-West European Category Seminar, Berlin, Germany, 28-29 March 2003 / / edited by W. Gähler and G. Preuss

Pubbl/distr/stampa

Singapore ; ; Hackensack, NJ, : World Scientific, c2004

ISBN

1-281-89846-5

9786611898465

981-270-241-5

Descrizione fisica

1 online resource (356 p.)

Altri autori (Persone)

GählerWerner

PreussGerhard <1940->

HerrlichHorst

Disciplina

512/.62

Soggetti

Categories (Mathematics)

Topological spaces

Metric spaces

Topology

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Dedicated to Horst Herrlich on the occasion of his 65th birthday"--P. [v].

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Contents; Preface; Introduction; Opening Ceremony of the North-West European Category Seminar 2003; On Boole's Booleanness B. Banaschewski; Homeomorphically Closed Nearness Spaces H. L. Bentley and John W. Carlson; The Tensor Product of Orthomodular Posets Reinhard Borger; On a Weak Form of the Blumberg Property Wing-Sum Cheung, Yu-Ting Lin, George E. Strecker and Shiojenn Tseng; Saturated Collections of Metrics E. Colebunders, R. Lowen and M. Sioen; A Uniform Space Proof of a Metrisation Theorem P. J. Collins

Classification of Closure Operators for Categories of Topological Spaces Dikran Dikranjan, Walter Tholen and Stephen WatsonTopological Structures in Logics Werner Gahler; The Structure of Affine Algebraic Sets Eraldo Giuli; A Twisted Triple Category of Track Commutative Cubes K. A. Hardie and K. H. Kamps; Productivity of Coreflective



Classes in Some Topological Structures; A Characterization of Co-Retracts of Functional Structures; Maximal (Sequentially) Compact Topologies Hans-Peter A. Kiinzi and Dominic van der Zypen; Supertopologies as Starting Points for Generalized Continuity Structures

Introducing Lagois CorrespondencesOn (B,B)-Projectivity Helga Oltmanns, Valdis Laan, Ulrich Knauer; On Coalgebras which are Algebras; A Hyperspace Completion for Semiuniform Convergence Spaces and Related Hyperspace Structures; Convex Effect Algebras and Partially Ordered Positively Convex Modules; Fibrewise Sobriety; Two Applications of Elementary Submodels to Partitions of Topological Spaces; L-Valued Categories: Generalities and Examples Related to Algebra and Topology; Horst Herrlich's Publications; Bernhard Banaschewski: Two Poems

Sommario/riassunto

The book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Seminar 2003 in Berlin. The spectrum of these mathematical results reflects the varied interests of Horst Herrlich - one of the leading category theorists of the world - to whom this volume is dedicated in view of his 65th birthday. The book contains applications of categorical methods in various branches of mathematics such as algebra, analysis, logic and topology, as well as fuzzy structures and computer science. At the end of the book the reader