**Nonstandard Analysis in Topology**

by Sergio Salbany, Todor Todorov

**Publisher**: arXiv 2011**Number of pages**: 48

**Description**:

We present Nonstandard Analysis in the framework of the superstructure of a given infinite set. We also present several applications of this axiomatic approach to point-set topology. Some of the topological topics such as the Hewitt real compactification and the nonstandard characterization of the sober spaces seem to be new in the literature on nonstandard analysis.

Download or read it online for free here:

**Download link**

(380KB, PDF)

## Similar books

**Topology Without Tears**

by

**Sidney A. Morris**

It provides a thorough grounding in general topology: introduction, topological spaces, the Euclidian topology, limit points, homeomorphisms, continuous mappings, metric spaces, compactness, finite products, countable products, Tychonoff's theorem.

(

**11285**views)

**Topology**

by

**David Wilkins**-

**Trinity College, Dublin**

The lecture notes for course 212 (Topology), taught at Trinity College, Dublin. Topics covered: Limits and Continuity, Open and Closed Sets, Metric Spaces, Topological Spaces, Normed Vector Spaces and Functional Analysis, Topology in the Plane.

(

**5891**views)

**General Topology**

by

**Jesper M. Moller**

These notes are an introduction to general topology. They should be sufficient for further studies in geometry or algebraic topology. The text covers: Sets and maps; Topological spaces and continuous maps; Regular and normal spaces; etc.

(

**6213**views)

**General Topology**

by

**Pierre Schapira**-

**Université Paris VI**

The aim of these lecture notes is to provide a short and self-contained presentation of the main concepts of general topology. Table of contents: Topological spaces; Metric spaces; Compact spaces; Banach spaces; Connectness and homotopy.

(

**4070**views)