by Pierre Schapira
Publisher: Université Paris VI 2011
Number of pages: 78
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.
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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.
by John McCleary - 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.
by Sergio Salbany, Todor Todorov - arXiv
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 seem to be new in the literature.
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.