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|Title||On Nonstandard Topology|
Nonstandard topology is a kind of topology constructed by means of nonstandard analysis. In the literature, most books and research articles talk about nonstandard analysis. They rarely talk about nonstandard topology. Indeed, it is hard to find a single book or article that gives a comprehensive study of nonstandard topology. In this thesis, we did our utmost efforts to survey and collect most of the information that have been scattered in the literature and that deal with nonstandard topology. We present to the reader all what he wants to know about the subject in a simple and correlative way that mimics the presentation of standard topology by any elementary textbook. Thus this thesis can be considered as an introductory textbook on nonstandard topology that will be very helpful and useful for the researchers who will be interested in developing topology in the sense of the nonstandard methods.
|Publisher||the islamic university|
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