Gap-Sheaves and Extension of Coherent Analytic Subsheaves

Preliminaries.- Singularities of coherent sheaves and their cohomology classes.- Primary decomposition and relative gap-sheaves.- Sheaves of local cohomology and absolute gap-sheaves.- Closedness of coboundary modules.- Duality.- ?-convexity.- Extension of analytic covers.- Subvariety extension. Projection lemma.- Subsheaf extension.- Globalization.- Historical notes.