first countable topological space

first countable topological space

[¦fərst ′kau̇nt·ə·bəl ‚täp·ə¦läj·ə·kəl ′spās]

(mathematics)

A topological space in which every point has a countable number of open neighborhoods so that any neighborhood of this point contains one of these.

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