Local Homeomorphism - Relation To Covering Maps

Relation To Covering Maps

If X and Y are locally compact spaces and p : YX is a proper local homeomorphism, then p is a covering map.

Read more about this topic:  Local Homeomorphism

Famous quotes containing the words relation to, relation, covering and/or maps:

    Hesitation increases in relation to risk in equal proportion to age.
    Ernest Hemingway (1899–1961)

    There is a relation between the hours of our life and the centuries of time. As the air I breathe is drawn from the great repositories of nature, as the light on my book is yielded by a star a hundred millions of miles distant, as the poise of my body depends on the equilibrium of centrifugal and centripetal forces, so the hours should be instructed by the ages and the ages explained by the hours.
    Ralph Waldo Emerson (1803–1882)

    You had to have seen the corpses lying there in front of the school—the men with their caps covering their faces—to know the meaning of class hatred and the spirit of revenge.
    Alfred Döblin (1878–1957)

    And at least you know

    That maps are of time, not place, so far as the army
    Happens to be concerned—the reason being,
    Is one which need not delay us.
    Henry Reed (1914–1986)