This text bridges the gap existing in the field of set theoretical topology between the introductory texts and the more specialised monographs. The authors review fit developments in general topology and discuss important new areas of research and the importance of defining a methodology applicable to this active field of mathematics. The concept of normal cover and related ideas is considered in detail, as are the characterisations of normal spaces, collectionwise normal spaces and their interrelationships with paracompact spaces (and other weaker forms of compactness). Various methods of embedding subspaces are studied, before considering newer concepts such as M-spaces and their relationships with established ideas. These ideas are applied to give new results pertaining to the extension of continuous vector-valued functions. Wallman-Frink compactifications and realcompactifications are also studied to assist in unifying the ideas through the use of the more general L-filter.
| ISBN: | 9780521202718 |
| Publication date: | 8th August 1974 |
| Author: | Richard Anthony Alò, Harvey Lee Shapiro |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 306 pages |
| Series: | Cambridge Tracts in Mathematics |
| Genres: |
Geometry |
This text bridges the gap existing in the field of set theoretical topology between the introductory texts and the more specialised monographs. The authors review fit developments in general topology and discuss important new areas of research and the importance of defining a methodology applicable to this active field of mathematics. The concept of normal cover and related ideas is considered in detail, as are the characterisations of normal spaces, collectionwise normal spaces and their interrelationships with paracompact spaces (and other weaker forms of compactness). Various methods of embedding subspaces are studied, before considering newer concepts such as M-spaces and their relationships with established ideas. These ideas are applied to give new results pertaining to the extension of continuous vector-valued functions. Wallman-Frink compactifications and realcompactifications are also studied to assist in unifying the ideas through the use of the more general L-filter.
Normal Topological Spaces features in the following genres: Geometry
Normal Topological Spaces is available in Hardback
Normal Topological Spaces was written by Richard Anthony Alò, Harvey Lee Shapiro and published by Cambridge University Press
Normal Topological Spaces has 306 pages
Yes it is part of Cambridge Tracts in Mathematics series