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This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.

Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Topology. --- Topological Groups. --- Functional Analysis. --- Topological Groups, Lie Groups. --- Groups, Topological --- Continuous groups --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Topological groups. --- Lie groups. --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups

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Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach spaces, Banach algebras and operator theory. Each chapter presents a lot of worthwhile and important recent theorems with an abstract discussing the material in the chapter. Each chapter can almost be seen as a survey covering a particular area.

Mathematics --- Topological groups. Lie groups --- Topology --- Operator theory --- Functional analysis --- Mathematical physics --- differentiaalvergelijkingen --- analyse (wiskunde) --- topologie (wiskunde) --- functies (wiskunde) --- wiskunde --- topologie