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|Title||Nonstandard Topology on R|
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ordered field of nonstandard real numbers (or simply hyperreals) has been introduced. It extends the reals . The hyperreals properties and the main topological definitions for with the standard topology have been presented in the nonstandard context. Nonstandard proofs of well-known theorems from the topology on have been given and compared with the standard ones. Keywords Ultrapower, Hyperreals, Transfer Principle, (Nonstandard) Topology on .
|Published in||IUG Journal for Natural and Engineering Studies|
|Series||Volume: 23, Number: 2|
|Publisher||الجامعة الإسلامية - غزة|
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