Hewitt-Nachbin Spaces - 1st Edition - ISBN: 9780720427189, 9781483257181

Hewitt-Nachbin Spaces

1st Edition

Authors: Maurice D. Weir
Editors: Leopoldo Nachbin
eBook ISBN: 9781483257181
Imprint: North Holland
Published Date: 1st January 1975
Page Count: 278
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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


Preface

Chapter 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 Perspective

Chapter 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 Products

Chapter 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-Spaces

Chapter 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 Mappings

Bibliography

Index

Details

No. of pages:
278
Language:
English
Copyright:
© North Holland 1975
Published:
Imprint:
North Holland
eBook ISBN:
9781483257181

About the Author

Maurice D. Weir

Affiliations and Expertise

Naval Postgraduate School Monterey, California USA

About the Editor

Leopoldo Nachbin

Affiliations and Expertise

University of Rochester