Gluing of differentiable spaces and applications. (Q1183055)

In classical problems of singularities of space-times the notion of a differentiable manifold is not sufficient. One of the authors introduced the concept of differentiable spaces to describe singularities of space-time [\textit{K. Spallek}, Math. Ann. 180, 269--296 (1969; Zbl 0169.52901)]. In this paper the authors present a general concept of gluing of differentiable spaces, and prove the Existence and Uniqueness Theorem of glued spaces. As an example they give the gluing of Robertson-Walker space-time. Another example are complex spaces, which can be considered as being glued together by their components.