Hewitt-Nachbin Spaces
- 1st Edition - January 1, 1975
- Latest edition
- Author: Maurice D. Weir
- Editor: Leopoldo Nachbin
- Language: English
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… Read more
World Book Day celebration
Where learning shapes lives
Up to 25% off trusted resources that support research, study, and discovery.
Description
Description
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.
Table of contents
Table of contents
PrefaceChapter 1 Embedding in Topological Products 1. Notation and Terminology 2. The Embedding Lemma 3. E-Completely Regular Spaces 4. E-Compact Spaces 5. A Categorical PerspectiveChapter 2 Hewitt-Nachbin Spaces and Convergence 6. g-Filters and Convergence 7. Hewitt-Nachbin Completeness via Ideals, Filters, and Nets 8. Characterizations and Properties of Hewitt-Nachbin Spaces 9. Hewitt-Nachbin Completions 10. z-Embedding and u-Embedding 11. Hewitt-Nachbin Completions of ProductsChapter 3 Hewitt-Nachbin Spaces, Uniformities, and Related Topological Spaces 12. A Review of Uniform Spaces 13. Hewitt-Nachbin Completeness and Uniform Spaces 14. Almost Realcompact and cb-SpacesChapter 4 Hewitt-Nachbin Completeness and Continuous Mappings 15. Some Classes of Mappings 16. Perfect Mappings 17. Closed Mappings and Hewitt-Nachbin Spaces 18. WZ-Mappings 19 . E-Perfect MappingsBibliographyIndex
Product details
Product details
- Edition: 1
- Latest edition
- Published: January 1, 1975
- Language: English
About the editor
About the editor
LN
Leopoldo Nachbin
Affiliations and expertise
University of RochesterAbout the author
About the author
MW
Maurice D. Weir
Affiliations and expertise
Naval Postgraduate School Monterey, California USA