Categorical Topology
Springer Berlin (Verlag)
978-3-540-07859-3 (ISBN)
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?.
Erscheint lt. Verlag | 19.8.1976 |
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Reihe/Serie | Lecture Notes in Mathematics |
Zusatzinfo | XVIII, 722 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 1016 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Schlagworte | Algebra • Calculus • category theory • Function • Kategorie (Math.) • Theorem • Topologie • Topology |
ISBN-10 | 3-540-07859-2 / 3540078592 |
ISBN-13 | 978-3-540-07859-3 / 9783540078593 |
Zustand | Neuware |
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