E-Book, Englisch, 278 Seiten, Web PDF
Weir / Nachbin Hewitt-Nachbin Spaces
1. Auflage 2013
ISBN: 978-1-4832-5718-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 278 Seiten, Web PDF
ISBN: 978-1-4832-5718-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
North-Holland Mathematics Studies: Hewitt-Nachbin Spaces exposes the theory of Hewitt-Nachbin spaces, also called realcompact or Q-spaces, taking into account synergistic points of view from which these spaces are investigated. The publication first offers information on embedding in topological products and Hewitt-Nachbin spaces and convergence, including notation and terminology, embedding lemma, E-completely regular spaces, E-compact spaces, and characterizations and properties of Hewitt-Nachbin spaces. The text also touches on Hewitt-Nachbin spaces, uniformities, and related topological spaces, as well as Hewitt-Nachbin completeness and uniform spaces, review of uniform spaces, and almost realcompact and cb-spaces. The book takes a look at Hewitt-Nachbin completeness and continuous mappings. Discussions focus on classes of mappings, perfect mappings, WZ mappings, closed mappings and Hewitt-Nachbin spaces, and E-perfect mappings. The manuscript is a reliable reference for readers interested in Hewitt-Nachbin spaces.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Hewitt-Nachbin Spaces;4
3;Copyright Page;5
4;Table of Contents;8
5;PREFACE;6
6;Dedication;9
7;CHAPTER 1. EMBEDDING IN TOPOLOGICAL PRODUCTS;10
7.1;1. Notation and Terminology;14
7.2;2. The Embedding Lemma;18
7.3;3. E-Completely Regular Spaces;24
7.4;4. E-Compact Spaces;32
7.5;5. A Categorical Perspective;41
8;CHAPTER 2. HEWITT-NACHBIN SPACES AND CONVERGENCE;50
8.1;6. 8–Filters and Convergence;50
8.2;7. Hewitt-Nachbin Completeness via Ideals, Filters,
and Nets;67
8.3;8. Characterizations and Properties of Hewitt-Nachbin
Spaces;83
8.4;9. Hewitt-Nachbin Completions;105
8.5;10. z–Embedding and u-Embedding;117
8.6;11. Hewitt-Nachbin Completions of Products;129
9;CHAPTER 3. HEWITT-NACHBIN SPACES, UNIFORMITIES, AND
RELATED TOPOLOGICAL SPACES;145
9.1;12. A Review of Uniform Spaces;146
9.2;13. Hewitt-Nachbin Completeness and Uniform Spaces;152
9.3;14. Almost Realcompact and
cb–Spaces;166
10;CHAPTER 4. HEWITT-NACHBIN COMPLETENESS AND CONTINUOUS
MAPPINGS;180
10.1;15. Some Classes of Mappings;182
10.2;16. Perfect Mappings;195
10.3;17. Closed Mappings and Hewitt-Nachbin Spaces;207
10.4;18. WZ-Mappings;222
10.5;19. E- Perfect Mappings;234
11;BIBLIOGRAPHY;246
12;INDEX;270
