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:

    You must realize that I was suffering from love and I knew him as intimately as I knew my own image in a mirror. In other words, I knew him only in relation to myself.
    Angela Carter (1940–1992)

    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)

    Three forms I see on stretchers lying, brought out there untended
    lying,
    Over each the blanket spread, ample brownish woolen blanket,
    Gray and heavy blanket, folding, covering all.
    Walt Whitman (1819–1892)

    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)