Categorical Topology

The role of nearness spaces in topology....Pages 1-22
Un theoreme d\'inversion locale....Pages 24-42
Charaktergruppen von Gruppen von S 1 -wertigen stetigen Funktionen....Pages 43-92
Some cartesian closed topological categories of convergence spaces....Pages 93-108
Topological functors and structure functors....Pages 109-135
An external characterization of topological functors....Pages 136-151
Homotopy and Kan extensions....Pages 152-163
Tensor products of functors on categories of Banach spaces....Pages 164-187
Duality of compactological and locally compact groups....Pages 188-207
Products and sums in the category of frames....Pages 208-219
Categorical methods in dimension theory....Pages 220-242
Envelopes in the category of Kakutani-m-spaces....Pages 243-253
Compactly generated spaces and duality....Pages 254-264
Some topological theorems which fail to be true....Pages 265-285
Topological functors admitting generalized Cauchy-completions....Pages 286-344
Category theoretical methods in topological algebra....Pages 345-403
Lattices of reflections and coreflections in continuous structures....Pages 404-424
Pro-categories and shape theory....Pages 425-434
A note on the inverse mapping theorem of F. Berquier....Pages 435-438
Cartesian closed topological categories....Pages 439-451
Epireflective categories of Hausdorff spaces....Pages 452-481
Categorical problems in minimal spaces....Pages 482-500
Some outstanding problems in topology and the V-process....Pages 501-517
Nearness and metrization....Pages 518-547
Reflective subcategories and closure operators....Pages 548-565
Compactness theorems....Pages 566-577
Differential calculus and cartesian closedness....Pages 578-604
Perfect sources....Pages 605-624
Espaces fonctionnels et structures syntopogènes....Pages 625-634
Filters and uniformities in general categories....Pages 635-653
Categories of topological transformation groups....Pages 654-675
On monoidal closed topological categories I....Pages 676-687
On topological algebras relative to full and faithful dense functors....Pages 688-698
Are there topoi in topology?....Pages 699-719