Completeness properties designed for recognizing Baire spaces

Aarts J. M. ; Lutzer D. J.

GDML_Books, (1974), p.

Résumé

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

Détail

EUDML-ID : urn:eudml:doc:268554