Categorical Aspects of Topology and Analysis

Proceedings of an International Conference Held at Carleton University, Ottawa, August 11-15, 1981
Herausgegeben:Banaschewski, B.

• Broschiertes Buch

Produktbeschreibung

On the largest initial completion of categories of algebras.- The coreflective hull of the contigual spaces in the category of merotopic spaces.- On nuclear limit vector spaces.- Higher order sheaves and Banach modules.- On the non-unique extension of topological to bitopological properties.- A categorical approach to probability theory.- Asscoli's theorem for topological categories.- Rigid spaces and monoidal closedness.- The Puppe and Nomura operators in the category of homotopy pairs.- Universal completions of concrete categories.- Relative nilpotent groups.- Factorization of cones II, with applications to weak Hausdorff spaces.- An essay on free compact groups.- Spectral dualities involving mixed structures.- Categories of orderable spaces.- Factorization theorems for geometric morphisms, II.- On subcategories of banach spaces in sheaves.- Connectednesses and disconnectednesses in S-Near.- Local monocoreflectivity in topological categories.- An algebraic version of Cantor-Bendixson analysis.- On regular-projective spaces in topological-algebraic categories.- Boolean completion and m-convergence.- Birkhoff's theorem for categories.- Structure Functors.- On compact space objects in topoi.

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Produktdetails

• Lecture Notes in Mathematics 915
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-11211-2
• 1982.
• Seitenzahl: 400
• Erscheinungstermin: 1. März 1982
• Englisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 630g
• ISBN-13: 9783540112112
• ISBN-10: 3540112111
• Artikelnr.: 23563779

Inhaltsangabe

On the largest initial completion of categories of algebras.- The coreflective hull of the contigual spaces in the category of merotopic spaces.- On nuclear limit vector spaces.- Higher order sheaves and Banach modules.- On the non-unique extension of topological to bitopological properties.- A categorical approach to probability theory.- Asscoli's theorem for topological categories.- Rigid spaces and monoidal closedness.- The Puppe and Nomura operators in the category of homotopy pairs.- Universal completions of concrete categories.- Relative nilpotent groups.- Factorization of cones II, with applications to weak Hausdorff spaces.- An essay on free compact groups.- Spectral dualities involving mixed structures.- Categories of orderable spaces.- Factorization theorems for geometric morphisms, II.- On subcategories of banach spaces in sheaves.- Connectednesses and disconnectednesses in S-Near.- Local monocoreflectivity in topological categories.- An algebraic version of Cantor-Bendixson analysis.- On regular-projective spaces in topological-algebraic categories.- Boolean completion and m-convergence.- Birkhoff's theorem for categories.- Structure Functors.- On compact space objects in topoi.