Quasi-continuous Function - Definition

Definition

Let be a topological space. A real-valued function is quasi-continuous at a point if for any every and any open neighborhood of there is a non-empty open set such that

Note that in the above definition, it is not necessary that .

Read more about this topic:  Quasi-continuous Function

Famous quotes containing the word definition:

    ... if, as women, we accept a philosophy of history that asserts that women are by definition assimilated into the male universal, that we can understand our past through a male lens—if we are unaware that women even have a history—we live our lives similarly unanchored, drifting in response to a veering wind of myth and bias.
    Adrienne Rich (b. 1929)

    One definition of man is “an intelligence served by organs.”
    Ralph Waldo Emerson (1803–1882)

    Was man made stupid to see his own stupidity?
    Is God by definition indifferent, beyond us all?
    Is the eternal truth man’s fighting soul
    Wherein the Beast ravens in its own avidity?
    Richard Eberhart (b. 1904)