Topology and Maps:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1977
|
| Schriftenreihe: | Mathematical Concepts and Methods in Science and Engineering
5 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This work is suitable for undergraduate students as well as advanced students and research workers. It consists of ten chapters, the first six of which are meant for beginners and are therefore suitable for undergraduate students; Chapters VII-X are suitable for advanced students and research workers interested in functional analysis. This book has two special features: First, it contains generalizations of continuous maps on topological spaces, e. g. , almost continuous maps, nearly continuous maps, maps with closed graph, graphically continuous maps, w-continuous maps, and a-continuous maps, etc. and some of their properties. The treatment of these notions appears here, in Chapter VII, for the first time in book form. The second feature consists in some not-so-easily-available nuptial delights that grew out of the marriage of topology and functional analysis; they are topics mainly courted by functional analysts and seldom given in topology books. Specifically, one knows that the set C(X) of all real- or com plex-valued continuous functions on a completely regular space X forms a locally convex topological algebra, a fortiori a topological vector space, in the compact-open topology. A number of theorems are known: For example, C(X) is a Banach space iff X is compact, or C(X) is complete iff X is a kr-space, and so on. Chapters VIII and X include this material, which, to the regret of many interested readers has not previously been available in book form (a recent publication (Weir [\06]) does, however, contain some material of our Chapter X) |
| Beschreibung: | 1 Online-Ressource (XX, 337 p) |
| ISBN: | 9781461587989 9781461588009 |
| DOI: | 10.1007/978-1-4615-8798-9 |
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Datensatz im Suchindex
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| dewey-full | 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4615-8798-9 |
| format | Electronic eBook |
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| id | DE-604.BV042420968 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781461587989 9781461588009 |
| language | English |
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| series2 | Mathematical Concepts and Methods in Science and Engineering |
| spelling | Husain, Taqdir Verfasser aut Topology and Maps by Taqdir Husain Boston, MA Springer US 1977 1 Online-Ressource (XX, 337 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Concepts and Methods in Science and Engineering 5 This work is suitable for undergraduate students as well as advanced students and research workers. It consists of ten chapters, the first six of which are meant for beginners and are therefore suitable for undergraduate students; Chapters VII-X are suitable for advanced students and research workers interested in functional analysis. This book has two special features: First, it contains generalizations of continuous maps on topological spaces, e. g. , almost continuous maps, nearly continuous maps, maps with closed graph, graphically continuous maps, w-continuous maps, and a-continuous maps, etc. and some of their properties. The treatment of these notions appears here, in Chapter VII, for the first time in book form. The second feature consists in some not-so-easily-available nuptial delights that grew out of the marriage of topology and functional analysis; they are topics mainly courted by functional analysts and seldom given in topology books. Specifically, one knows that the set C(X) of all real- or com plex-valued continuous functions on a completely regular space X forms a locally convex topological algebra, a fortiori a topological vector space, in the compact-open topology. A number of theorems are known: For example, C(X) is a Banach space iff X is compact, or C(X) is complete iff X is a kr-space, and so on. Chapters VIII and X include this material, which, to the regret of many interested readers has not previously been available in book form (a recent publication (Weir [\06]) does, however, contain some material of our Chapter X) Mathematics Topology Mathematik Topologie (DE-588)4060425-1 gnd rswk-swf Topologie (DE-588)4060425-1 s 1\p DE-604 https://doi.org/10.1007/978-1-4615-8798-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Husain, Taqdir Topology and Maps Mathematics Topology Mathematik Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4060425-1 |
| title | Topology and Maps |
| title_auth | Topology and Maps |
| title_exact_search | Topology and Maps |
| title_full | Topology and Maps by Taqdir Husain |
| title_fullStr | Topology and Maps by Taqdir Husain |
| title_full_unstemmed | Topology and Maps by Taqdir Husain |
| title_short | Topology and Maps |
| title_sort | topology and maps |
| topic | Mathematics Topology Mathematik Topologie (DE-588)4060425-1 gnd |
| topic_facet | Mathematics Topology Mathematik Topologie |
| url | https://doi.org/10.1007/978-1-4615-8798-9 |
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