**Metric and Topological Spaces**

by T. W. Körner

**Publisher**: University of Cambridge 2014**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.

Download or read it online for free here:

**Download link**

(620KB, PDF)

## Similar books

**Notes on Introductory Point-Set Topology**

by

**Allen Hatcher**-

**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.

(

**6892**views)

**Topology**

by

**David Wilkins**-

**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.

(

**10395**views)

**General Topology**

by

**Jesper M. Moller**

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.

(

**10589**views)

**Real Variables: With Basic Metric Space Topology**

by

**Robert B. Ash**-

**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.

(

**60694**views)