Topological and Analytic Preliminaries


The neighborhood of a young child consists of the people very close on the left and right. As we get older we think in terms of two-dimensional neighborhoods (the people around the corner) or even three-dimensional neighborhoods (the people in the world). In this chapter we do likewise. We develop numerous methods for accurately describing sets in the real line (one-dimensional) and the plane (two-dimensional). In order to track down the elusive point at infinity, it becomes necessary to introduce the sphere (three-dimensional).


Complex Number Complex Plane Unit Circle Boundary Point Limit Point 
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© Birkhäuser Boston 2006

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