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: Quick Tour of the Topology of RQuick Tour of the Topology of R
by - University of Illinois at Chicago
These notes are a supplement for the 'standard undergraduate course' in Analysis. The aim is to present a more general perspective on the incipient ideas of topology encountered when exploring the rigorous theorem-proof approach to Calculus.
(7932 views)
Book cover: Notes on Introductory Point-Set TopologyNotes on Introductory Point-Set Topology
by - Cornell University
These are lecture notes from the first part of an undergraduate course in 2005, covering just the most basic things. From the table of contents: Basic Point-Set Topology; Connectedness; Compactness; Quotient Spaces; Exercises.
(6892 views)
Book cover: Homeomorphisms in AnalysisHomeomorphisms in Analysis
by - American Mathematical Society
This book features the interplay of two main branches of mathematics: topology and real analysis. The text covers Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, various theorems on Fourier series, etc.
(14311 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.
(60694 views)