Completeness properties designed for recognizing Baire spaces

Aarts J. M.; Lutzer D. J.

  • 1974

Abstract

top
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

top

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 -

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.