Local Homeomorphism - Relation To Covering Maps

Relation To Covering Maps

If X and Y are locally compact spaces and p : Y → X 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:

    “The difference between objective and subjective extension is one of relation to a context solely.”
    —William James (1842–1910)

    “It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
    —René Descartes (1596–1650)

    “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 now good morrow to our waking souls,
    Which watch not one another out of fear;
    For love all love of other sights controls,
    And makes one little room an everywhere.
    Let sea-discoverers to new worlds have gone,
    Let maps to other, worlds on worlds have shown,
    Let us possess one world; each hath one, and is one.”
    —John Donne (1572–1631)