Pointed set

In mathematics, a pointed set (also based set or rooted set) is an ordered pair $(X, x_0)$ where $X$ is a set and $x_0$ is an element of $X$ called the base point, also spelled basepoint.

Maps between pointed sets $(X, x_0)$ and $(Y, y_0)$ (called based maps, pointed maps, or point-preserving maps) are functions from $X$ to $Y$ that map one basepoint to another, i.e. a map $f : X \to Y$ such that $f(x_0) = y_0$ . This is usually denoted

单词	Pointed set
释义	Pointed set 英语百科 Pointed set In mathematics, a pointed set (also based set or rooted set) is an ordered pair $(X, x_0)$ where $X$ is a set and $x_0$ is an element of $X$ called the base point, also spelled basepoint. Maps between pointed sets $(X, x_0)$ and $(Y, y_0)$ (called based maps, pointed maps, or point-preserving maps) are functions from $X$ to $Y$ that map one basepoint to another, i.e. a map $f : X \to Y$ such that $f(x_0) = y_0$ . This is usually denoted
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