This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.

I. Methods in the Theory of Sheaves and Stein Spaces.- II. Holomorphic Vector Bundles and the Oka-Grauert Principle.- III. Deformations of Complex Spaces.- IV. Homogeneous Complex Manifolds.- Author Index.