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: 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.
(12354 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.
(8638 views)
Book cover: Elementary TopologyElementary Topology
by - American Mathematical Society
This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.
(17604 views)
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.
(12757 views)