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: Elementary TopologyElementary Topology
by - American Mathematical Society
This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.
(19174 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.
(17867 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.
(14096 views)
Book cover: Notes on Introductory Point-Set TopologyNotes on Introductory Point-Set Topology
by - Cornell University
These are lecture notes from the first part of an undergraduate course in 2005, covering just the most basic things. From the table of contents: Basic Point-Set Topology; Connectedness; Compactness; Quotient Spaces; Exercises.
(10620 views)