Completeness properties designed for recognizing Baire spaces

Aarts J. M.; Lutzer D. J.

  • 1974

Abstract

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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

How to cite

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

@book{AartsJ1974,
abstract = {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},
author = {Aarts J. M., Lutzer D. J.},
language = {eng},
title = {Completeness properties designed for recognizing Baire spaces},
url = {http://eudml.org/doc/268554},
year = {1974},
}

TY - BOOK
AU - Aarts J. M.
AU - Lutzer D. J.
TI - Completeness properties designed for recognizing Baire spaces
PY - 1974
AB - 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
LA - eng
UR - http://eudml.org/doc/268554
ER -

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