Pointed Space

A pointed space is a topological space X together with a choice of a basepoint x in X. The notation for a pointed space is (X,x). Maps between two pointed spaces must take basepoints to basepoints. Pointed spaces are widely used in algebraic topology, homotopy theory, and topological K-theory.

See also

Pointed Map

This entry contributed by John Renze

Explore with Wolfram|Alpha


Bredon, G. Topology and Geometry New York: Springer-Verlag, p. 128, 1993.

Referenced on Wolfram|Alpha

Pointed Space

Cite this as:

Renze, John. "Pointed Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

Subject classifications