Topological Transformation Groups

An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a well-known mathematical conjecture, Hilbert's Fifth Problem.
The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups.

O monografie avansata despre subiectul grupurilor de transformare topologica, acest volum rezuma cercetari importante efectuate intr-o perioada de activitate plina de viata in acest domeniu al matematicii. Cartea este de o nota speciala, deoarece reprezinta punctul culminant al cercetarilor realizate de autorii Deane Montgomery si Leo Zippin, intreprinse in colaborare cu Andrew Gleason de la Universitatea Harvard, care au dus la solutionarea unei binecunoscute conjecturi matematice, a cincea problema a lui Hilbert.