**Homeomorphisms in Analysis**

by Casper Goffman, at al.

**Publisher**: American Mathematical Society 1997**ISBN/ASIN**: 0821806149**ISBN-13**: 9780821806142**Number of pages**: 216

**Description**:

This book features the interplay of two main branches of mathematics: topology and real analysis. The material of the book is largely contained in the research publications of the authors and their students from the past 50 years. Parts of analysis are touched upon in a unique way, for example, Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, bounded variation in the sense of Cesari, and various theorems on Fourier series and generalized bounded variation of a function.

Download or read it online for free here:

**Download link**

(preview available)

## Similar books

**Metric and Topological Spaces**

by

**T. W. Körner**-

**University of Cambridge**

Contents: 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; etc.

(

**5683**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.

(

**7117**views)

**A First Course in Topology: Continuity and Dimension**

by

**John McCleary**-

**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.

(

**14906**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.

(

**9495**views)