A charaterization of closed maps using the whyburn construction
In this paper we modify the Whyburn construction for a continuous function f:X→Y. If the range is first countable, we get a characterization of closed maps; namely, the constructions are the same if and only if the map is closed.
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171285000229 |
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| _version_ | 1832545403594080256 |
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| author | Yvonne O. Stallings |
| author_facet | Yvonne O. Stallings |
| author_sort | Yvonne O. Stallings |
| collection | DOAJ |
| description | In this paper we modify the Whyburn construction for a continuous function f:X→Y. If the range is first countable, we get a characterization of closed maps; namely, the constructions are the same if and only if the map is closed. |
| format | Article |
| id | doaj-art-dc5caf01941048678f6009a4a6ce9acb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dc5caf01941048678f6009a4a6ce9acb2025-02-03T07:25:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018120120310.1155/S0161171285000229A charaterization of closed maps using the whyburn constructionYvonne O. Stallings0Department of Mathematics, University of Southwestern Louisiana, Lafayette 70504, Louisiana, USAIn this paper we modify the Whyburn construction for a continuous function f:X→Y. If the range is first countable, we get a characterization of closed maps; namely, the constructions are the same if and only if the map is closed.http://dx.doi.org/10.1155/S0161171285000229closed mapsfirst countableWhyburn construction. |
| spellingShingle | Yvonne O. Stallings A charaterization of closed maps using the whyburn construction International Journal of Mathematics and Mathematical Sciences closed maps first countable Whyburn construction. |
| title | A charaterization of closed maps using the whyburn construction |
| title_full | A charaterization of closed maps using the whyburn construction |
| title_fullStr | A charaterization of closed maps using the whyburn construction |
| title_full_unstemmed | A charaterization of closed maps using the whyburn construction |
| title_short | A charaterization of closed maps using the whyburn construction |
| title_sort | charaterization of closed maps using the whyburn construction |
| topic | closed maps first countable Whyburn construction. |
| url | http://dx.doi.org/10.1155/S0161171285000229 |
| work_keys_str_mv | AT yvonneostallings acharaterizationofclosedmapsusingthewhyburnconstruction AT yvonneostallings charaterizationofclosedmapsusingthewhyburnconstruction |