Antipodal map: Difference between revisions

Revision as of 03:49, 23 May 2007

Definition

Let $X$ and $Y$ be two spaces, each equipped with antipode maps, both denoted by $-$ . Then, a antipodal map between $X$ and $Y$ is a continuous map that commutes with the antipode. In other words, $f:X\to Y$ is antipodal if $f(-x)=-f(x)$ .

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	~~#REDIRECT [[Antipode~~ map]]		==Definition==

			Let <math>X</math> and <math>Y</math> be two spaces, each equipped with antipode maps, both denoted by <math>-</math>. Then, a '''antipodal map''' between <math>X</math> and <math>Y</math> is a continuous map that commutes with the antipode. In other words, <math>f:X \to Y</math> is antipodal if <math>f(-x) = -f(x)</math>.