Homotopy dimension

In mathematics, especially algebraic topology, the homotopy dimension of a topological space does not have a fixed meaning. However, it can refer to

• the minimum dimension of a CW complex that is homotopy equivalent to the space.
• the Lebesgue covering dimension of the space
• homotopy dimension introduced by Lurie in his Higher Topos Theory for an ∞-topos.

• Dimension of a homotopy type
• Homotopy dimension of a mapping
• 次元論 in Japanese
• homotopy dimension in nLab (this article is about homotopy dimension in Lurie' higher topos theory)

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