idealization of some topological concepts
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ID: 239673
2011
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Abstract
An approach is followed here to generate a new topology on a set ๐ from an ideal โ and a family ๐ฎ of subsets of ๐. The so-obtained topology is related to other known topologies on ๐. The cases treated here include the one when ๐ฎ=๐๐ผ is taken, then the case when ๐ฎ=๐
๐(๐,๐) is considered. The approach is open to apply to other choices of ๐ฎ. As application, some known results are obtained as corollaries to those results appearing here. In the last part of this work, some ideal-continuity concepts are studied, which originate from some previously known terms and results.
| Reference Key |
al-nashef2011internationalidealization
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|---|---|
| Authors | ;B. Al-Nashef;K. Al-Zoubi |
| Journal | structural engineering and mechanics |
| Year | 2011 |
| DOI |
10.1155/2011/795106
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| URL | |
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