A First Course in Topology: Continuity and Dimension
by John McCleary
Publisher: American Mathematical Society 2006
ISBN/ASIN: 0821838849
ISBN-13: 9780821838846
Number of pages: 210
Description:
The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time. The goal of this book is a focused introduction through these classical topics, aiming throughout at the classical result of the Invariance of Dimension. This text is based on the author's course given at Vassar College and is intended for advanced undergraduate students. It is suitable for a semester-long course on topology for students who have studied real analysis and linear algebra.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Nonstandard Analysis in Topologyby 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.
(11897 views)
Homeomorphisms in Analysisby Casper Goffman, at al. - 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.
(17784 views)
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.
(13496 views)
General Topologyby Jesper M. Mo ller
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.
(14020 views)