Abstract
This chapter discusses bounded sets in spaces of holomorphic germs. The chapter presents a discussion on the extendible subsets of the space of holomorphic mappings and characterizes such extendible subsets in terms of “locally extendibility.” The chapter presents a discussion on the compacts subsets of types LCQ and CQ and presents several definitions. Let X be a topological space, K a compact subset of X. The chapter discusses the following equivalence relation on X: x, y ∊ X, x ∼ y if x, y ∊ K or x = y. X/K the quotient space endowed with its natural topologies denoted, and K/K the equivalence class of an element of K. The chapter also discusses F-analytic manifolds modelled on locally convex spaces.
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