Fast complete locally convex linear topological spaces
This is a study of relationship between the concepts of Mackey, ultrabornological, bornological, barrelled, and infrabarrelled spaces and the concept of fast completeness. An example of a fast complete but not sequentially complete space is presented.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1986-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000960 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567598870429696 |
|---|---|
| author | Carlos Bosch Jan Kucera Kelly McKennon |
| author_facet | Carlos Bosch Jan Kucera Kelly McKennon |
| author_sort | Carlos Bosch |
| collection | DOAJ |
| description | This is a study of relationship between the concepts of Mackey, ultrabornological,
bornological, barrelled, and infrabarrelled spaces and the concept of fast completeness. An example of a fast complete but not sequentially complete space is presented. |
| format | Article |
| id | doaj-art-9134a751af234dc1a84500e01ba15431 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9134a751af234dc1a84500e01ba154312025-02-03T01:01:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019479179610.1155/S0161171286000960Fast complete locally convex linear topological spacesCarlos Bosch0Jan Kucera1Kelly McKennon2Department of Pure and Applied Mathematics, Washington State University, Pullman 99164-2930, WA, USADepartment of Pure and Applied Mathematics, Washington State University, Pullman 99164-2930, WA, USADepartment of Pure and Applied Mathematics, Washington State University, Pullman 99164-2930, WA, USAThis is a study of relationship between the concepts of Mackey, ultrabornological, bornological, barrelled, and infrabarrelled spaces and the concept of fast completeness. An example of a fast complete but not sequentially complete space is presented.http://dx.doi.org/10.1155/S0161171286000960locally convex spacefast complete spacebornological spacebarrelled spaceMackey spaceBaire space. |
| spellingShingle | Carlos Bosch Jan Kucera Kelly McKennon Fast complete locally convex linear topological spaces International Journal of Mathematics and Mathematical Sciences locally convex space fast complete space bornological space barrelled space Mackey space Baire space. |
| title | Fast complete locally convex linear topological spaces |
| title_full | Fast complete locally convex linear topological spaces |
| title_fullStr | Fast complete locally convex linear topological spaces |
| title_full_unstemmed | Fast complete locally convex linear topological spaces |
| title_short | Fast complete locally convex linear topological spaces |
| title_sort | fast complete locally convex linear topological spaces |
| topic | locally convex space fast complete space bornological space barrelled space Mackey space Baire space. |
| url | http://dx.doi.org/10.1155/S0161171286000960 |
| work_keys_str_mv | AT carlosbosch fastcompletelocallyconvexlineartopologicalspaces AT jankucera fastcompletelocallyconvexlineartopologicalspaces AT kellymckennon fastcompletelocallyconvexlineartopologicalspaces |