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In topology and related areas of mathematics a uniformly connected space or Cantor connected space is a uniform space U such that every uniformly continuous function from U to a discrete uniform space is constant. A uniform space U is called uniformly disconnected if it is not uniformly connected.
Erie Railroad Co. v. Tompkins, 304 U.S. 64 (1938), was a landmark U.S. Supreme Court decision in which the Court held that the United States does not have a general federal common law and that U.S. federal courts must apply state law, not federal law, to lawsuits between parties from different states that do not involve federal questions.
As a consequence, a notion of connectedness can be formulated independently of the topology on a space. To wit, there is a category of connective spaces consisting of sets with collections of connected subsets satisfying connectivity axioms; their morphisms are those functions which map connected sets to connected sets ( Muscat & Buhagiar 2006 ).
As soft law, these principles help harmonize international commercial contract law by providing rules supplementing international instruments like the CISG and even national laws. Most importantly in private practice, they offer a neutral contractual regime which the parties can choose, either by incorporation into their contracts (in whole or ...
Hutton's Unconformity at Jedburgh. Above: John Clerk of Eldin's 1787 illustration. Below: 2003 photograph. Uniformitarianism, also known as the Doctrine of Uniformity or the Uniformitarian Principle, [1] is the assumption that the same natural laws and processes that operate in our present-day scientific observations have always operated in the universe in the past and apply everywhere in the ...
In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of dimension at least 1.
Goldman v. Weinberger, 475 U.S. 503 (1986), was a United States Supreme Court case in which a Jewish Air Force officer was denied the right to wear a yarmulke when in uniform on the grounds that the Free Exercise Clause applies less strictly to the military than to ordinary citizens.
The Uniform Trade Secrets Act (UTSA), published by the Uniform Law Commission (ULC) in 1979 and amended in 1985, is a model law designed for adoption by U.S. states. [1] It was developed to resolve inconsistencies in the treatment of trade secrets across different states.