Logo

Nonstandard Analysis in Topology

Small book cover: Nonstandard Analysis in Topology

Nonstandard Analysis in Topology
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(380KB, PDF)

Similar books

Book cover: General TopologyGeneral Topology
by
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.
(10917 views)
Book cover: Metric and Topological SpacesMetric and Topological Spaces
by - University of Cambridge
Contents: What is a metric?; Examples of metric spaces; Continuity and open sets for metric spaces; Closed sets for metric spaces; Topological spaces; Interior and closure; More on topological structures; Hausdorff spaces; Compactness; etc.
(7048 views)
Book cover: Introduction to TopologyIntroduction to Topology
by
Contents: Basic concepts; Constructing topologies; Connectedness; Separation axioms and the Hausdorff property; Compactness and its relatives; Quotient spaces; Homotopy; The fundamental group and some applications; Covering spaces; etc.
(10609 views)
Book cover: A First Course in Topology: Continuity and DimensionA First Course in Topology: Continuity and Dimension
by - American Mathematical Society
A focused introduction to point-set topology, the fundamental group, and the beginnings of homology theory. The text is intended for advanced undergraduate students. It is suitable for students who have studied real analysis and linear algebra.
(16520 views)