A Crash Course On Nonstandard Topology.

      Аннотация: Nonstandard topoplogy is a kind of topology that is constructed by means of nonstandard analysis. In the literature, there is an abundace of books and papers that treat nostandard analysis, but, on the other hand, there are quite a few books and papers that treat nonstandard topology. This book gives a simple and comprehensive treatment of nonstandard topology. In fact, it presents to the reader most of what he/she needs to know about the subject in a simple and correlative way by mimicking the presentation of the standard topology. This simplification may help interested researchers in developing topology in the sense of nonstandard methods.

Ключевые слова: continuity, Extension principle, separation axioms, Compactness., compactification, Transfer Principle, saturation principle, Monad, Subspace, Product Topology