Hewitt-Nachbin Spaces
- 1st Edition - January 1, 1975
- Author: Maurice D. Weir
- Editor: Leopoldo Nachbin
- Language: English
- Paperback ISBN:9 7 8 - 0 - 7 2 0 4 - 2 7 1 8 - 9
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 5 7 1 8 - 1
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
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Request a sales quoteNorth-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.
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
- No. of pages: 278
- Language: English
- Edition: 1
- Published: January 1, 1975
- Imprint: North Holland
- Paperback ISBN: 9780720427189
- eBook ISBN: 9781483257181
LN
Leopoldo Nachbin
Affiliations and expertise
University of RochesterMW
Maurice D. Weir
Affiliations and expertise
Naval Postgraduate School Monterey, California USA