On Topological Properties of Metrics Defined via Generalized “Linking Construction”
We analyze topological properties of metric spaces obtained by using Száz’s construction, which we used to call generalized “linking construction.” In particular, we provide necessary and sufficient conditions for completeness of metric spaces obtained in this way. Moreover, we examine the relation...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/4901762 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558709853650944 |
|---|---|
| author | Marcin Borkowski Dariusz Bugajewski Adam Burchardt |
| author_facet | Marcin Borkowski Dariusz Bugajewski Adam Burchardt |
| author_sort | Marcin Borkowski |
| collection | DOAJ |
| description | We analyze topological properties of metric spaces obtained by using Száz’s construction, which we used to call generalized “linking construction.” In particular, we provide necessary and sufficient conditions for completeness of metric spaces obtained in this way. Moreover, we examine the relation between Száz’s construction and the “linking construction.” A particular attention is drawn to the “floor” metric, the analysis of which provides some interesting observations. |
| format | Article |
| id | doaj-art-2a095c12ed534dd480ad7972882705c2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2a095c12ed534dd480ad7972882705c22025-02-03T01:31:47ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/49017624901762On Topological Properties of Metrics Defined via Generalized “Linking Construction”Marcin Borkowski0Dariusz Bugajewski1Adam Burchardt2Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Ul. Umultowska 87, 61-614 Poznań, PolandFaculty of Mathematics and Computer Science, Adam Mickiewicz University, Ul. Umultowska 87, 61-614 Poznań, PolandFaculty of Mathematics and Computer Science, Adam Mickiewicz University, Ul. Umultowska 87, 61-614 Poznań, PolandWe analyze topological properties of metric spaces obtained by using Száz’s construction, which we used to call generalized “linking construction.” In particular, we provide necessary and sufficient conditions for completeness of metric spaces obtained in this way. Moreover, we examine the relation between Száz’s construction and the “linking construction.” A particular attention is drawn to the “floor” metric, the analysis of which provides some interesting observations.http://dx.doi.org/10.1155/2017/4901762 |
| spellingShingle | Marcin Borkowski Dariusz Bugajewski Adam Burchardt On Topological Properties of Metrics Defined via Generalized “Linking Construction” Journal of Function Spaces |
| title | On Topological Properties of Metrics Defined via Generalized “Linking Construction” |
| title_full | On Topological Properties of Metrics Defined via Generalized “Linking Construction” |
| title_fullStr | On Topological Properties of Metrics Defined via Generalized “Linking Construction” |
| title_full_unstemmed | On Topological Properties of Metrics Defined via Generalized “Linking Construction” |
| title_short | On Topological Properties of Metrics Defined via Generalized “Linking Construction” |
| title_sort | on topological properties of metrics defined via generalized linking construction |
| url | http://dx.doi.org/10.1155/2017/4901762 |
| work_keys_str_mv | AT marcinborkowski ontopologicalpropertiesofmetricsdefinedviageneralizedlinkingconstruction AT dariuszbugajewski ontopologicalpropertiesofmetricsdefinedviageneralizedlinkingconstruction AT adamburchardt ontopologicalpropertiesofmetricsdefinedviageneralizedlinkingconstruction |