Book Review: An Introduction to Linear Transformations in Hilbert Space
Paul Richard Halmos · Bulletin of the American Mathematical Society · 1942
cal connectedness; N. E. Steenrod, Regular cycles of compact metric spaces ; Samuel Eilenberg, Extension and classification of continuous mapping; Hassler Whitney, On the topology of differentiable manifolds; S. S. Cairns, Triangulated manifolds and differentiable manifolds; P. A. Smith, Periodic and nearly periodic transformations; Leo Zippin, Transformation groups; Saunders MacLane and V. W. Adkisson, Extensions of homeomorphisms on the sphere; O. G. Harrold, Jr., The role of local separating points in certain problems of continuum structure; L. W. Cohen, Uniformity in topological space; E. W. Chittenden, On the reduction of topological functions.There are also short accounts of nine other papers.As can be seen from this list, practically every phase of modern topology is touched upon in this collection.Many of the papers are of a discursive nature, with most of the proofs omitted, and so the total amount of ground covered is quite extensive.We heartily recommend this book to any worker in topology as an excellent source of information on the present status of this subject.