Topological Spaces With Order Structure
- Spectral. A space is spectral if and only if it is the prime spectrum of a ring (Hochster theorem).
- Specialization preorder. In a space the specialization (or canonical) preorder is defined by x ≤ y if and only if cl{x} ⊆ cl{y}.
Read more about this topic: Topological Space
Famous quotes containing the words spaces, order and/or structure:
“When I consider the short duration of my life, swallowed up in the eternity before and after, the little space which I fill and even can see, engulfed in the infinite immensity of spaces of which I am ignorant and which know me not, I am frightened and am astonished at being here rather than there. For there is no reason why here rather than there, why now rather than then.”
—Blaise Pascal (16231662)
“Women do not have to sacrifice personhood if they are mothers. They do not have to sacrifice motherhood in order to be persons. Liberation was meant to expand womens opportunities, not to limit them. The self-esteem that has been found in new pursuits can also be found in mothering.”
—Elaine Heffner (20th century)
“Each structure and institution here was so primitive that you could at once refer it to its source; but our buildings commonly suggest neither their origin nor their purpose.”
—Henry David Thoreau (18171862)