List of General Topology Topics - Foundations of Algebraic Topology

Famous quotes containing the words foundations of, foundations and/or algebraic:

“and the oxen near
The worn foundations of their resting-place,
The holy manger where their bed is corn
And holly torn for Christmas. If they die,
As Jesus, in the harness, who will mourn?
Lamb of the shepherds, Child, how still you lie.”
—Robert Lowell (1917–1977)

“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.... It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.”
—Gottlob Frege (1848–1925)

“I have no scheme about it,—no designs on men at all; and, if I had, my mode would be to tempt them with the fruit, and not with the manure. To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives?—and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared, to live more worthily and profitably?”
—Henry David Thoreau (1817–1862)