Non-Hausdorff Ascoli theory

Pedro Morales

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

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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

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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 -

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