A Urysohn lemma for regular spaces
Using the concept of m-open sets, M-regularity and M-normality are introduced and investigated. Both these notions are closed under arbitrary product. M-normal spaces are found to satisfy a result similar to Urysohn lemma. It is shown that closed sets can be separated by m-continuous functions in a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2022-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/16720 |
| _version_ | 1811205491474300928 |
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| author | Ankit Gupta Ratna Dev Sarma |
| author_facet | Ankit Gupta Ratna Dev Sarma |
| author_sort | Ankit Gupta |
| collection | DOAJ |
| description | Using the concept of m-open sets, M-regularity and M-normality are introduced and investigated. Both these notions are closed under arbitrary product. M-normal spaces are found to satisfy a result similar to Urysohn lemma. It is shown that closed sets can be separated by m-continuous functions in a regular space. |
| first_indexed | 2024-04-12T03:32:41Z |
| format | Article |
| id | doaj.art-b2eb1fdffa704382baf9908dc1fbbdb3 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-04-12T03:32:41Z |
| publishDate | 2022-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-b2eb1fdffa704382baf9908dc1fbbdb32022-12-22T03:49:31ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472022-10-0123224325310.4995/agt.2022.1672013696A Urysohn lemma for regular spacesAnkit Gupta0https://orcid.org/0000-0003-0760-4467Ratna Dev Sarma1https://orcid.org/0000-0002-4181-3732University of DelhiUniversity of DelhiUsing the concept of m-open sets, M-regularity and M-normality are introduced and investigated. Both these notions are closed under arbitrary product. M-normal spaces are found to satisfy a result similar to Urysohn lemma. It is shown that closed sets can be separated by m-continuous functions in a regular space.https://polipapers.upv.es/index.php/AGT/article/view/16720regularitynormalitym-normalitym-regularityurysohn lemma |
| spellingShingle | Ankit Gupta Ratna Dev Sarma A Urysohn lemma for regular spaces Applied General Topology regularity normality m-normality m-regularity urysohn lemma |
| title | A Urysohn lemma for regular spaces |
| title_full | A Urysohn lemma for regular spaces |
| title_fullStr | A Urysohn lemma for regular spaces |
| title_full_unstemmed | A Urysohn lemma for regular spaces |
| title_short | A Urysohn lemma for regular spaces |
| title_sort | urysohn lemma for regular spaces |
| topic | regularity normality m-normality m-regularity urysohn lemma |
| url | https://polipapers.upv.es/index.php/AGT/article/view/16720 |
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