
General Topology
by Pierre Schapira
Publisher: Université Paris VI 2011
Number of pages: 78
Description:
The aim of these Notes is to provide a short and self-contained presentation of the main concepts of general topology. The authors have included a few exercises at the end of the chapters. Contents: Topological spaces; Metric spaces; Compact spaces; Banach spaces; Connectness and homotopy.
Download or read it online for free here:
Download link
(470KB, PDF)
Similar books
Introduction to Topologyby Alex Kuronya
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.
(13284 views)
Real Variables: With Basic Metric Space Topologyby Robert B. Ash - 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.
(65878 views)
Quick Tour of the Topology of Rby StevenHurder, DaveMarker - 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.
(10581 views)
Metric and Topological Spacesby 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.
(9513 views)