**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

**Homeomorphisms in Analysis**

by

**Casper Goffman, at al.**-

**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.

(

**9983**views)

**General Topology**

by

**Pierre Schapira**-

**Université Paris VI**

The aim of these lecture notes is to provide a short and self-contained presentation of the main concepts of general topology. Table of contents: Topological spaces; Metric spaces; Compact spaces; Banach spaces; Connectness and homotopy.

(

**4603**views)

**Algebraic General Topology**

by

**Victor Porton**-

**Mathematics21.org**

I introduce the concepts of funcoids which generalize proximity spaces and reloids which generalize uniform spaces. Funcoid is generalized concept of proximity, the concept of reloid is cleared from superfluous details concept of uniformity.

(

**2609**views)

**Quick Tour of the Topology of R**

by

**StevenHurder, DaveMarker**-

**University of Illinois at Chicago**

These notes are a supplement for the 'standard undergraduate course' in Analysis. The aim is to present a more general perspective on the incipient ideas of topology encountered when exploring the rigorous theorem-proof approach to Calculus.

(

**4734**views)