Concerning nearly metrizable spaces
The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is achieved here as analogues of the corresponding ones for metrizable spaces. It i...
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Universitat Politècnica de València
2013-07-01
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| Series: | Applied General Topology |
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| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1583 |
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doaj-fb65a2f5374b4a299d6ef23a1cb62ec12020-11-25T01:08:15ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472013-07-0114213514510.4995/agt.2013.15831300Concerning nearly metrizable spacesM. N. Mukherjee0Dhananjoy Mandal1University of CalcuttaUniversity of CalcuttaThe purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is achieved here as analogues of the corresponding ones for metrizable spaces. It is seen that near metrizability is a natural idea vis-a-vis near paracompactness, playing the similar role as played by paracompactness with regard to metrizabilityhttp://polipapers.upv.es/index.php/AGT/article/view/1583Regular open setsemiregularization spacealmost regular spacenearly metrizable spacenear paracompactness |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. N. Mukherjee Dhananjoy Mandal |
| spellingShingle |
M. N. Mukherjee Dhananjoy Mandal Concerning nearly metrizable spaces Applied General Topology Regular open set semiregularization space almost regular space nearly metrizable space near paracompactness |
| author_facet |
M. N. Mukherjee Dhananjoy Mandal |
| author_sort |
M. N. Mukherjee |
| title |
Concerning nearly metrizable spaces |
| title_short |
Concerning nearly metrizable spaces |
| title_full |
Concerning nearly metrizable spaces |
| title_fullStr |
Concerning nearly metrizable spaces |
| title_full_unstemmed |
Concerning nearly metrizable spaces |
| title_sort |
concerning nearly metrizable spaces |
| publisher |
Universitat Politècnica de València |
| series |
Applied General Topology |
| issn |
1576-9402 1989-4147 |
| publishDate |
2013-07-01 |
| description |
The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability. A number of characterizations of nearly metrizable spaces is achieved here as analogues of the corresponding ones for metrizable spaces. It is seen that near metrizability is a natural idea vis-a-vis near paracompactness, playing the similar role as played by paracompactness with regard to metrizability |
| topic |
Regular open set semiregularization space almost regular space nearly metrizable space near paracompactness |
| url |
http://polipapers.upv.es/index.php/AGT/article/view/1583 |
| work_keys_str_mv |
AT mnmukherjee concerningnearlymetrizablespaces AT dhananjoymandal concerningnearlymetrizablespaces |
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1725183496077443072 |