Quick Tour of the Topology of R
by StevenHurder, DaveMarker
Publisher: University of Illinois at Chicago 2003
Number of pages: 48
Description:
These notes are a supplement for the 'standard undergraduate course' in Analysis at the University of Illinois at Chicago. The aim is to present a more general perspective on the incipient ideas of topology encountered when exploring the rigorous theorem-proof approach to the results of Calculus.
Download or read it online for free here:
Download link
(370KB, PDF)
Similar books

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.
(10269 views)

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.
(12712 views)

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.
(12424 views)

by T. W. Körner - 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.
(8598 views)