Non-Hausdorff Ascoli theory

Pedro Morales

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1974

Abstract

top
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 k 3 ,-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

How to cite

top

Pedro Morales. Non-Hausdorff Ascoli theory. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1974. <http://eudml.org/doc/268533>.

@book{PedroMorales1974,
abstract = {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 $k_3$,-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},
author = {Pedro Morales},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Non-Hausdorff Ascoli theory},
url = {http://eudml.org/doc/268533},
year = {1974},
}

TY - BOOK
AU - Pedro Morales
TI - Non-Hausdorff Ascoli theory
PY - 1974
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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 $k_3$,-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
LA - eng
UR - http://eudml.org/doc/268533
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.