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.
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ISBN-13
978-1-4832-5718-1 (9781483257181)
Schweitzer Klassifikation
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
