Cover (topology)

Cover (topology)

In mathematics, a cover of a set X is a collection of sets whose union contains X as a subset. Formally, if

is an indexed family of sets Uα, then C is a cover of X if

Read more about Cover (topology):  Cover in Topology, Refinement, Compactness, Covering Dimension

Famous quotes containing the word cover:

    Every man alone is sincere. At the entrance of a second person, hypocrisy begins. We parry and fend the approach of our fellow-man by compliments, by gossip, by amusements, by affairs. We cover up our thought from him under a hundred folds.
    Ralph Waldo Emerson (1803–1882)