S1.1

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The most important and basic point in this section is to understand the definitions of open and closed sets, and to develop a good intuitive feel for what these sets are like. This requires some understanding of the notions of boundary, interior, and closure.

S1.1 1.1. Open and closed sets $\newcommand{\R}{\mathbb R }$ $\newcommand{\bfa}{\mathbf a}$ $\newcommand{\bfb}{\mathbf b}$ $\newcommand{\bfu}{\mathbf u}$ $\newcommand{\bfx}{\mathbf x}$ $\newcommand{\bfy}{\mathbf y}$ $\newcommand{\ep}{\varepsilon}$ Open, closed, and other subsets of $\R^n$ basic terminology and notation Interior, boundary, and closure Open and closed sets Problems See also Section 1.2 in Folland's Advanced Calculus . The most important and basic point in this section is to understand the definitions of open and closed sets, and to develop a good intuitive feel for what these se

S1.1

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