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Tytuł książki

Completeness properties designed for recognizing Baire spaces

Autorzy

Aarts J. M. Lutzer D. J.

Seria

Rozprawy Matematyczne tom/nr w serii: 116 wydano: 1974

Zawartość

Pełne teksty:
rm116_01.pdf

Warianty tytułu

Abstrakty

EN
CONTENTS

I Introduction
 1.1. Introductory remarks.................................................. 5
 1.2. Baire spaces............................................................... 6
 1.3. Completeness properties......................................... 8
 1.4. Conventions................................................................. 9

II. Global completeness
 2.1. The global completeness properties..................... 11
 2.2. Products and subspaces.......................................... 13
 2.3. Mappings...................................................................... 15
 2.4. Examples..................................................................... 17

III. Moore spaces
 3.1. Moore completeness and Rudin completeness............................... 20
 3.2. Countable global completeness in Moore spaces........................... 21
 3.3. Moore spaces and Baire spaces......................................................... 24

IV. Local and almost completeness
 4.1. Dense complete subspaces................................................................. 20
4.2. Products and subspaccs.................................................................................... 28
4.3. Mappings................................................................................................................ 30

V. Additional remarks
 5.1. Miscellaneous topics.............................................................................. 34
 5.2. Relations between the completeness properties............................. 37
 5.3. Open problems........................................................................................ 40
References.................................................................................................................... 42

Słowa kluczowe

Tematy

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 116

Liczba stron

43

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom 116

Daty

wydano
1974

Twórcy

autor
Aarts J. M.
  • Delft Institute of Technology, Delft, Netherlands
autor
Lutzer D. J.
  • University of Pittsburgh, Pittsburgh, Pa., 15260, U. S. A.

Bibliografia

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