Categorical Topology

Proceedings of the Conference held at Mannheim, 21-25 July 1975

736 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

The role of nearness spaces in topology.- Un theoreme d'inversion locale.- Charaktergruppen von Gruppen von S1-wertigen stetigen Funktionen.- Some cartesian closed topological categories of convergence spaces.- Topological functors and structure functors.- An external characterization of topological functors.- Homotopy and Kan extensions.- Tensor products of functors on categories of Banach spaces.- Duality of compactological and locally compact groups.- Products and sums in the category of frames.- Categorical methods in dimension theory.- Envelopes in the category of Kakutani-m-spaces.- Compactly generated spaces and duality.- Some topological theorems which fail to be true.- Topological functors admitting generalized Cauchy-completions.- Category theoretical methods in topological algebra.- Lattices of reflections and coreflections in continuous structures.- Pro-categories and shape theory.- A note on the inverse mapping theorem of F. Berquier.- Cartesian closed topological categories.- Epireflective categories of Hausdorff spaces.- Categorical problems in minimal spaces.- Some outstanding problems in topology and the V-process.- Nearness and metrization.- Reflective subcategories and closure operators.- Compactness theorems.- Differential calculus and cartesian closedness.- Perfect sources.- Espaces fonctionnels et structures syntopogènes.- Filters and uniformities in general categories.- Categories of topological transformation groups.- On monoidal closed topological categories I.- On topological algebras relative to full and faithful dense functors.- Are there topoi in topology?.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540078593
• Sprache: Englisch
• Erscheinungsdatum: 19.08.1976
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: E. Binz, H. Herrlich