**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

**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.

(

**4199**views)

**Introduction to Topology**

by

**Alex Kuronya**

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.

(

**8350**views)

**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.

(

**5051**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.

(

**8105**views)