Compact

Compact as used in politics may refer broadly to a pact or treaty; in more specific cases it may refer to:

  • Interstate compact
  • Compact government, a type of colonial rule utilized in British North America
  • Compact of Free Association whereby the sovereign states of the Federated States of Micronesia, the Republic of the Marshall Islands and the Republic of Palau have entered into as associated states with the United States.

Within mathematics, compact may refer to:

  • Compact element, those elements of a partially ordered set that cannot be subsumed by a supremum of any directed set that does not already contain them
  • Compact operator, a linear operator that takes bounded subsets to relatively compact subsets, in functional analysis
  • Compact space, a topological space such that every open cover has a finite subcover
  • Quasi-compact morphism, a morphism of schemes for which the inverse image of any quasi-compact open set is again quasi-compact

Compact may also refer to:

  • Compact car, a classification of automobile size
  • Compact (cosmetics), a case containing one or more of the following, a mirror, pressed powder, and/or a powder puff
  • Compact (newspaper), a broadsheet-quality newspaper printed in a tabloid format
  • Compact Books, a UK imprint
  • Compact Software, a technology company founded in 1973
  • Compact (TV series), a 1960s British soap opera
  • Compact star, also called a compact object, a degenerate star like a neutron star

Other articles related to "compact":

Stiefel Manifold
... In some contexts, a non-compact Stiefel manifold is defined as the set of all linearly independent k-frames in Rn, Cn, or Hn this is homotopy equivalent, as the compact Stiefel manifold is a deformation ... Statements about the non-compact form correspond to those for the compact form, replacing the orthogonal group (or unitary or symplectic group) with the general linear group ...
Hemicompact Space - Properties
... Every first countable hemicompact space is locally compact ... functions to a metric space with the compact-open topology is metrizable ... To see this, take a sequence of compact subsets of such that every compact subset of lies inside some compact set in this sequence (the existence of such a sequence follows ...
Rio Grande Compact
... The Rio Grande Compact is an interstate compact signed in 1938 in the United States between the states of Colorado, New Mexico, and Texas, and approved by the United States Congress, to equitably apportion ...
Hemicompact Space
... space is said to be hemicompact if it has a sequence of compact subsets such that every compact subset of the space lies inside some compact set in the sequence ... of the sequence to be the whole space, because every point is compact and hence must lie in one of the compact sets ...

Famous quotes containing the word compact:

    Take pains ... to write a neat round, plain hand, and you will find it a great convenience through life to write a small and compact hand as well as a fair and legible one.
    Thomas Jefferson (1743–1826)

    The powers of the federal government ... result from the compact to which the states are parties, [and are] limited by the plain sense and intention of the instrument constituting that compact.
    James Madison (1751–1836)

    What compact mean you to have with us?
    Will you be pricked in number of our friends,
    Or shall we on, and not depend on you?
    William Shakespeare (1564–1616)