Order-theoretical connectivity
Order-theoretically connected posets are introduced and applied to create the notion of T-connectivity in ordered topological spaces. As special cases T-connectivity contains classical connectivity, order-connectivity, and link-connectivity.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000965 |
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| _version_ | 1832552189734682624 |
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| author | T. A. Richmond R. Vainio |
| author_facet | T. A. Richmond R. Vainio |
| author_sort | T. A. Richmond |
| collection | DOAJ |
| description | Order-theoretically connected posets are introduced and applied to create the notion of T-connectivity in ordered topological spaces. As special cases T-connectivity contains classical connectivity, order-connectivity, and link-connectivity. |
| format | Article |
| id | doaj-art-e87a2f5ccabf4c589e2eccb35530216c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e87a2f5ccabf4c589e2eccb35530216c2025-02-03T05:59:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113471772010.1155/S0161171290000965Order-theoretical connectivityT. A. Richmond0R. Vainio1Department of Mathematics, Western Kentucky University, Bowling Green 42101, KY, USADepartment of Mathematics, Åbo Akademi, Åbo SF-20500, FinlandOrder-theoretically connected posets are introduced and applied to create the notion of T-connectivity in ordered topological spaces. As special cases T-connectivity contains classical connectivity, order-connectivity, and link-connectivity.http://dx.doi.org/10.1155/S0161171290000965topologies on posetslinksmaximal chainsorder-theoretical connectivityorder-connectivitylink-connectivityand T-connectivity. |
| spellingShingle | T. A. Richmond R. Vainio Order-theoretical connectivity International Journal of Mathematics and Mathematical Sciences topologies on posets links maximal chains order-theoretical connectivity order-connectivity link-connectivity and T-connectivity. |
| title | Order-theoretical connectivity |
| title_full | Order-theoretical connectivity |
| title_fullStr | Order-theoretical connectivity |
| title_full_unstemmed | Order-theoretical connectivity |
| title_short | Order-theoretical connectivity |
| title_sort | order theoretical connectivity |
| topic | topologies on posets links maximal chains order-theoretical connectivity order-connectivity link-connectivity and T-connectivity. |
| url | http://dx.doi.org/10.1155/S0161171290000965 |
| work_keys_str_mv | AT tarichmond ordertheoreticalconnectivity AT rvainio ordertheoreticalconnectivity |