k-space function spaces
A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000506 |
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| _version_ | 1832561079460298752 |
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| author | R. A. McCoy |
| author_facet | R. A. McCoy |
| author_sort | R. A. McCoy |
| collection | DOAJ |
| description | A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered. |
| format | Article |
| id | doaj-art-2f36603d8978438cb84179d9c64b68e9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2f36603d8978438cb84179d9c64b68e92025-02-03T01:25:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013470171110.1155/S0161171280000506k-space function spacesR. A. McCoy0Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg 24061, Virginia, USAA study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered.http://dx.doi.org/10.1155/S0161171280000506function spacesk-spacessequential spacesFréchet spacescountable tightnessk-countableτ-countable. |
| spellingShingle | R. A. McCoy k-space function spaces International Journal of Mathematics and Mathematical Sciences function spaces k-spaces sequential spaces Fréchet spaces countable tightness k-countable τ-countable. |
| title | k-space function spaces |
| title_full | k-space function spaces |
| title_fullStr | k-space function spaces |
| title_full_unstemmed | k-space function spaces |
| title_short | k-space function spaces |
| title_sort | k space function spaces |
| topic | function spaces k-spaces sequential spaces Fréchet spaces countable tightness k-countable τ-countable. |
| url | http://dx.doi.org/10.1155/S0161171280000506 |
| work_keys_str_mv | AT ramccoy kspacefunctionspaces |