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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000635 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |