Logo

Metric and Topological Spaces

Small book cover: Metric and Topological Spaces

Metric and Topological Spaces
by

Publisher: University of Cambridge
Number of pages: 109

Description:
Contents: Preface; 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; Products of compact spaces; Compactness in metric spaces; Connectedness; The language of neighbourhoods; Final remarks and books.

Home page url

Download or read it online for free here:
Download link
(620KB, PDF)

Similar books

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.
(12529 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.
(55088 views)
Book cover: Point-Set Topology: CoursePoint-Set Topology: Course
by - Intelligent Perception
This is an introductory, one semester course on point-set topology and applications. Topics: topologies, separation axioms, connectedness, compactness, continuity, metric spaces. Intended for advanced undergraduate and beginning graduate students.
(3884 views)
Book cover: A First Course in Topology: Continuity and DimensionA First Course in Topology: Continuity and Dimension
by - 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.
(11615 views)