Logo

A First Course in Topology: Continuity and Dimension

Large book cover: A First Course in Topology: Continuity and Dimension

A First Course in Topology: Continuity and Dimension
by

Publisher: American Mathematical Society
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

Book cover: Introduction to TopologyIntroduction to Topology
by
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.
(9266 views)
Book cover: Real Variables: With Basic Metric Space TopologyReal Variables: With Basic Metric Space Topology
by - 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.
(59356 views)
Book cover: TopologyTopology
by - 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.
(9216 views)
Book cover: Topology Without TearsTopology Without Tears
by
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.
(16201 views)