Homeomorphisms in Analysis
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Description: A survey by C. Goffman, T. Nishiura, D. Waterman in PDF. In particular, the effects of homeomorphic changes of domain on the analyticity of a function are studied.
Purdue University, West Lafayette, IN Wayne State University, Detroit, MI Syracuse University, Syracuse, NY Mathematical Surveys and Monographs 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, \(C^n\) and \(C^{\infty}\) functions, the Blumberg theorem, bounded variation in the sense of Cesari, and various theorems on Fourier series and generalized bounded variation of a function.
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