On the Nachbin compactification of products of totally ordered spaces
Necessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification of X.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000858 |
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| _version_ | 1832551505130946560 |
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| author | D. C. Kent Dongmei Liu T. A. Richmond |
| author_facet | D. C. Kent Dongmei Liu T. A. Richmond |
| author_sort | D. C. Kent |
| collection | DOAJ |
| description | Necessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where
X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification
of X. |
| format | Article |
| id | doaj-art-fb6b8803d194439c99b0c2e7030ec53c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fb6b8803d194439c99b0c2e7030ec53c2025-02-03T06:01:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118466567610.1155/S0161171295000858On the Nachbin compactification of products of totally ordered spacesD. C. Kent0Dongmei Liu1T. A. Richmond2Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USADepartment of Mathematics, Washington State University, Pullman 99164-3113, Washington, USADepartment of Mathematics, Western Kentucky University, Bowling Green 42101, Kentucky, USANecessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification of X.http://dx.doi.org/10.1155/S0161171295000858Nachbin compactificationWallman ordered compactification totally ordered spacemaximal c-filterstrictly first countable space. |
| spellingShingle | D. C. Kent Dongmei Liu T. A. Richmond On the Nachbin compactification of products of totally ordered spaces International Journal of Mathematics and Mathematical Sciences Nachbin compactification Wallman ordered compactification totally ordered space maximal c-filter strictly first countable space. |
| title | On the Nachbin compactification of products of totally ordered spaces |
| title_full | On the Nachbin compactification of products of totally ordered spaces |
| title_fullStr | On the Nachbin compactification of products of totally ordered spaces |
| title_full_unstemmed | On the Nachbin compactification of products of totally ordered spaces |
| title_short | On the Nachbin compactification of products of totally ordered spaces |
| title_sort | on the nachbin compactification of products of totally ordered spaces |
| topic | Nachbin compactification Wallman ordered compactification totally ordered space maximal c-filter strictly first countable space. |
| url | http://dx.doi.org/10.1155/S0161171295000858 |
| work_keys_str_mv | AT dckent onthenachbincompactificationofproductsoftotallyorderedspaces AT dongmeiliu onthenachbincompactificationofproductsoftotallyorderedspaces AT tarichmond onthenachbincompactificationofproductsoftotallyorderedspaces |