Topology Induced By The Order
If F is equipped with the order topology arising from the total order ≤, then the axioms guarantee that the operations + and * are continuous, so that F is a topological field.
Read more about this topic: Ordered Field
Famous quotes containing the words induced and/or order:
“Few can be induced to labor exclusively for posterity; and none will do it enthusiastically. Posterity has done nothing for us; and theorize on it as we may, practically we shall do very little for it, unless we are made to think we are at the same time doing something for ourselves.”
—Abraham Lincoln (1809–1865)
“Man needs to know but little more than a lobster in order to catch him in his traps.”
—Henry David Thoreau (1817–1862)