On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected
We prove that a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, cannot be locally connected, and also that every continuous function from a countable connected, locally connected Hausdorff space, to a countable connected Hausdorff space...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298000635 |
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| _version_ | 1832558122335469568 |
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| author | V. Tzannes |
| author_facet | V. Tzannes |
| author_sort | V. Tzannes |
| collection | DOAJ |
| description | We prove that a countable connected Hausdorff space in which the intersection of
every pair of connected subsets is connected, cannot be locally connected, and also that every
continuous function from a countable connected, locally connected Hausdorff space, to a countable
connected Hausdorff space in which the intersection of every pair of connected subsets is connected,
is constant. |
| format | Article |
| id | doaj-art-a91f6b05e454453b86e5a83655b797bc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a91f6b05e454453b86e5a83655b797bc2025-02-03T01:33:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121345946210.1155/S0161171298000635On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connectedV. Tzannes0Department of Mathematics, University of Patras, Patras 26110, GreeceWe prove that a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, cannot be locally connected, and also that every continuous function from a countable connected, locally connected Hausdorff space, to a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, is constant.http://dx.doi.org/10.1155/S0161171298000635Countable connectedlocally connected. |
| spellingShingle | V. Tzannes On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected International Journal of Mathematics and Mathematical Sciences Countable connected locally connected. |
| title | On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected |
| title_full | On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected |
| title_fullStr | On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected |
| title_full_unstemmed | On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected |
| title_short | On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected |
| title_sort | on countable connected hausdorff spaces in which the intersection of every pair of connected subsets in connected |
| topic | Countable connected locally connected. |
| url | http://dx.doi.org/10.1155/S0161171298000635 |
| work_keys_str_mv | AT vtzannes oncountableconnectedhausdorffspacesinwhichtheintersectionofeverypairofconnectedsubsetsinconnected |