Quick Tour of the Topology of R
by StevenHurder, DaveMarker
Publisher: University of Illinois at Chicago 2003
Number of pages: 48
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.
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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.
by 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.
by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov - 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.
by Sidney A. Morris
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.