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: 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.
(17591 views)
Book cover: Topology Without TearsTopology Without Tears
by
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.
(20259 views)
Book cover: Real Variables: With Basic Metric Space TopologyReal Variables: With Basic Metric Space Topology
by - Institute of Electrical & Electronics Engineering
A text for a first course in real variables for students of engineering, physics, and economics, who need to know real analysis in order to cope with the professional literature. The subject matter is fundamental for more advanced mathematical work.
(62618 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.
(16671 views)