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: 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.
(11553 views)
Book cover: Homeomorphisms in AnalysisHomeomorphisms in Analysis
by - 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.
(15565 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.
(20231 views)
Book cover: General TopologyGeneral Topology
by
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.
(11889 views)