The Nachbin compactification via convergence ordered spaces
We construct the Nachbin compactification for a T3.5-ordered topological ordered space by tailing a quotient of an ordered convergence space compactification. A variation of this quotient construction leads to a compactification functor on the category of T3.5-ordered convergence ordered spaces.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000791 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555376048865280 |
|---|---|
| author | D. C. Kent Dongmei Liu |
| author_facet | D. C. Kent Dongmei Liu |
| author_sort | D. C. Kent |
| collection | DOAJ |
| description | We construct the Nachbin compactification for a T3.5-ordered topological ordered
space by tailing a quotient of an ordered convergence space compactification. A variation of this
quotient construction leads to a compactification functor on the category of T3.5-ordered convergence
ordered spaces. |
| format | Article |
| id | doaj-art-30ec374321674281ab78abc225df549e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-30ec374321674281ab78abc225df549e2025-02-03T05:48:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116464565210.1155/S0161171293000791The Nachbin compactification via convergence ordered spacesD. C. Kent0Dongmei Liu1Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USADepartment of Mathematics, Washington State University, Pullman 99164-3113, Washington, USAWe construct the Nachbin compactification for a T3.5-ordered topological ordered space by tailing a quotient of an ordered convergence space compactification. A variation of this quotient construction leads to a compactification functor on the category of T3.5-ordered convergence ordered spaces.http://dx.doi.org/10.1155/S0161171293000791topological ordered spaceconvergence ordered spaceT2-ordered spaceT3.5-ordered spaceNachbin compactification. |
| spellingShingle | D. C. Kent Dongmei Liu The Nachbin compactification via convergence ordered spaces International Journal of Mathematics and Mathematical Sciences topological ordered space convergence ordered space T2-ordered space T3.5-ordered space Nachbin compactification. |
| title | The Nachbin compactification via convergence ordered spaces |
| title_full | The Nachbin compactification via convergence ordered spaces |
| title_fullStr | The Nachbin compactification via convergence ordered spaces |
| title_full_unstemmed | The Nachbin compactification via convergence ordered spaces |
| title_short | The Nachbin compactification via convergence ordered spaces |
| title_sort | nachbin compactification via convergence ordered spaces |
| topic | topological ordered space convergence ordered space T2-ordered space T3.5-ordered space Nachbin compactification. |
| url | http://dx.doi.org/10.1155/S0161171293000791 |
| work_keys_str_mv | AT dckent thenachbincompactificationviaconvergenceorderedspaces AT dongmeiliu thenachbincompactificationviaconvergenceorderedspaces AT dckent nachbincompactificationviaconvergenceorderedspaces AT dongmeiliu nachbincompactificationviaconvergenceorderedspaces |