Semi-locally Simply Connected - Topology of Fundamental Group

Topology of Fundamental Group

In terms of the natural topology on the fundamental group, a space is semi-locally simply connected if and only if its topological fundamental group is discrete.

Read more about this topic:  Semi-locally Simply Connected

Famous quotes containing the words fundamental and/or group:

    Wisdom is not just knowing fundamental truths, if these are unconnected with the guidance of life or with a perspective on its meaning. If the deep truths physicists describe about the origin and functioning of the universe have little practical import and do not change our picture of the meaning of the universe and our place within it, then knowing them would not count as wisdom.
    Robert Nozick (b. 1938)

    He hung out of the window a long while looking up and down the street. The world’s second metropolis. In the brick houses and the dingy lamplight and the voices of a group of boys kidding and quarreling on the steps of a house opposite, in the regular firm tread of a policeman, he felt a marching like soldiers, like a sidewheeler going up the Hudson under the Palisades, like an election parade, through long streets towards something tall white full of colonnades and stately. Metropolis.
    John Dos Passos (1896–1970)