CONTENTSIntroduction......................................................................................................................................... 5Chapter I. THEORY IN CLASSICAL POEM FOB FUNCTIONS 1. Equicontinuity in quasi-uniform context................................................................... 6 2. Quasi-uniform convergence on compacta............................................................. 8 3. k-spaces and ,-spaces................................................................................... 9 4. A separating equivalence relation............................................................................ 11 5. Ascoli theorem............................................................................................................. 11Chapter II. TOPOLOGICAL THEORY FOR MULTIFUNCTIONS 6. Preliminary lemmas for multifunctions................................................................... 14 7. Tychonoff theorem for multifunctions....................................................................... 16 8. Exponential law for multifunctions............................................................................ 18 9. Product of two k-spaces............................................................................................. 20 10. Non-Hausdorff theorem of the Gale type.............................................................. 21 11. Non-Hausdorff theorem of the Kelley—Morse type............................................ 24Chapter III. UNIFORM THEORY FOR MULTIFUNCTIONS 12. Ascoli theorems......................................................................................................... 27 13. Reduction to function context.................................................................................. 32References.................................................................................................................................................. 36
@book{bwmeta1.element.zamlynska-6b33817d-3340-44d8-b37a-b7a3068d8b38,
author = {Pedro Morales},
title = {Non-Hausdorff Ascoli theory},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1974},
zbl = {0289.54010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-6b33817d-3340-44d8-b37a-b7a3068d8b38}
}
Pedro Morales. Non-Hausdorff Ascoli theory. GDML_Books (1974), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-6b33817d-3340-44d8-b37a-b7a3068d8b38/