complete linear topological space

complete linear topological space

[kəm¦plēt ¦lin·ē·ər ‚täp·ə¦läj·ə·kəl ′spās]
(mathematics)
A topological vector space in which each Cauchy net undergoes Moore-Smith convergence to some point in the space.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.