differentiable atlas

differentiable atlas

[‚dif·ə′ren·chə·bəl ′at·ləs]

(mathematics)

A family of embeddings h_i:Eⁿ→M of euclidean space into a topological space M with the property that h_i ^-1 h_j:Eⁿ→Eⁿ is a differentiable map for each pair of indices, i, j.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.