Categorical Topology
Categorical Topology Proceedings of the Conference Held at Mannheim, 21–25, July, 1975 / [electronic resource] :
edited by Ernst Binz, Horst Herrlich.
- XVIII, 722 p. online resource.
- Lecture Notes in Mathematics, 540 0075-8434 ; .
- Lecture Notes in Mathematics, 540 .
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?.
9783540381181
10.1007/BFb0080850 doi
Mathematics.
Mathematics, general.
QA1-939
510
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?.
9783540381181
10.1007/BFb0080850 doi
Mathematics.
Mathematics, general.
QA1-939
510