locally euclidean topological space

locally euclidean topological space

[′lō·kə·lē yü′klid·ē·ən ¦täp·ə¦läj·ə·kəl ¦spās]

(mathematics)

A topological space in which every point has a neighborhood which is homeomorphic to a euclidean space.

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