Topologies between compact and uniform convergence on function spaces
This paper studies two topologies on the set of all continuous real-valued functions on a Tychonoff space which lie between the topologies of compact convergence and uniform convergence.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000122 |
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| _version_ | 1832567072610058240 |
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| author | S. Kundu R. A. McCoy |
| author_facet | S. Kundu R. A. McCoy |
| author_sort | S. Kundu |
| collection | DOAJ |
| description | This paper studies two topologies on the set of all continuous real-valued functions
on a Tychonoff space which lie between the topologies of compact convergence and uniform
convergence. |
| format | Article |
| id | doaj-art-f8b7f553ea0c464c8da6be08f2ae1a20 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f8b7f553ea0c464c8da6be08f2ae1a202025-02-03T01:02:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116110110910.1155/S0161171293000122Topologies between compact and uniform convergence on function spacesS. Kundu0R. A. McCoy1Division of Theoretical Statistics and Mathematics, Indian Statistical Institute, 203 B.T. Road, Calcutta 700 035, IndiaDepartment of Mathematics, Virginia Polytechnic Institute & State University, 460 McBryde Hall, Blacksburg, VA 24061-0123, USAThis paper studies two topologies on the set of all continuous real-valued functions on a Tychonoff space which lie between the topologies of compact convergence and uniform convergence.http://dx.doi.org/10.1155/S0161171293000122function spacescompact-open topologytopology of uniform convergenceσ-compactpseudo-compact. |
| spellingShingle | S. Kundu R. A. McCoy Topologies between compact and uniform convergence on function spaces International Journal of Mathematics and Mathematical Sciences function spaces compact-open topology topology of uniform convergence σ-compact pseudo-compact. |
| title | Topologies between compact and uniform convergence on function spaces |
| title_full | Topologies between compact and uniform convergence on function spaces |
| title_fullStr | Topologies between compact and uniform convergence on function spaces |
| title_full_unstemmed | Topologies between compact and uniform convergence on function spaces |
| title_short | Topologies between compact and uniform convergence on function spaces |
| title_sort | topologies between compact and uniform convergence on function spaces |
| topic | function spaces compact-open topology topology of uniform convergence σ-compact pseudo-compact. |
| url | http://dx.doi.org/10.1155/S0161171293000122 |
| work_keys_str_mv | AT skundu topologiesbetweencompactanduniformconvergenceonfunctionspaces AT ramccoy topologiesbetweencompactanduniformconvergenceonfunctionspaces |