Completeness properties designed for recognizing Baire spaces

J. M. Aarts; D. J. Lutzer

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

Abstract

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CONTENTSI Introduction 1.1. Introductory remarks.................................................. 5 1.2. Baire spaces............................................................... 6 1.3. Completeness properties......................................... 8 1.4. Conventions................................................................. 9II. Global completeness 2.1. The global completeness properties..................... 11 2.2. Products and subspaces.......................................... 13 2.3. Mappings...................................................................... 15 2.4. Examples..................................................................... 17III. 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......................................................... 24IV. Local and almost completeness 4.1. Dense complete subspaces................................................................. 204.2. Products and subspaccs.................................................................................... 284.3. Mappings................................................................................................................ 30V. Additional remarks 5.1. Miscellaneous topics.............................................................................. 34 5.2. Relations between the completeness properties............................. 37 5.3. Open problems........................................................................................ 40References.................................................................................................................... 42

How to cite

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J. M. Aarts, and D. J. Lutzer. Completeness properties designed for recognizing Baire spaces. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1974. <http://eudml.org/doc/268554>.

@book{J1974,
abstract = {CONTENTSI Introduction 1.1. Introductory remarks.................................................. 5 1.2. Baire spaces............................................................... 6 1.3. Completeness properties......................................... 8 1.4. Conventions................................................................. 9II. Global completeness 2.1. The global completeness properties..................... 11 2.2. Products and subspaces.......................................... 13 2.3. Mappings...................................................................... 15 2.4. Examples..................................................................... 17III. 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......................................................... 24IV. Local and almost completeness 4.1. Dense complete subspaces................................................................. 204.2. Products and subspaccs.................................................................................... 284.3. Mappings................................................................................................................ 30V. Additional remarks 5.1. Miscellaneous topics.............................................................................. 34 5.2. Relations between the completeness properties............................. 37 5.3. Open problems........................................................................................ 40References.................................................................................................................... 42},
author = {J. M. Aarts, D. J. Lutzer},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Completeness properties designed for recognizing Baire spaces},
url = {http://eudml.org/doc/268554},
year = {1974},
}

TY - BOOK
AU - J. M. Aarts
AU - D. J. Lutzer
TI - Completeness properties designed for recognizing Baire spaces
PY - 1974
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSI Introduction 1.1. Introductory remarks.................................................. 5 1.2. Baire spaces............................................................... 6 1.3. Completeness properties......................................... 8 1.4. Conventions................................................................. 9II. Global completeness 2.1. The global completeness properties..................... 11 2.2. Products and subspaces.......................................... 13 2.3. Mappings...................................................................... 15 2.4. Examples..................................................................... 17III. 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......................................................... 24IV. Local and almost completeness 4.1. Dense complete subspaces................................................................. 204.2. Products and subspaccs.................................................................................... 284.3. Mappings................................................................................................................ 30V. Additional remarks 5.1. Miscellaneous topics.............................................................................. 34 5.2. Relations between the completeness properties............................. 37 5.3. Open problems........................................................................................ 40References.................................................................................................................... 42
LA - eng
UR - http://eudml.org/doc/268554
ER -

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