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  2. Cardinality - Wikipedia

    en.wikipedia.org/wiki/Cardinality

    Definition 1: | A | = | B Two sets A and B have the same cardinality if there exists a bijection (a.k.a., one-to-one correspondence) from A to B, that is, a function from A to B that is both injective and surjective. Such sets are said to be equipotent, equipollent, or equinumerous. This relationship can also be denoted A ≈ B or A ~ B.

  3. Covering space - Wikipedia

    en.wikipedia.org/wiki/Covering_space

    In topology, a covering or covering projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies of a space onto itself. In particular, coverings are special types of local homeomorphisms. If is a covering, is said to be a covering space or cover of , and is said to be the base of the ...

  4. AdS/CFT correspondence - Wikipedia

    en.wikipedia.org/wiki/AdS/CFT_correspondence

    String theory. In theoretical physics, the anti-de Sitter/conformal field theory correspondence (frequently abbreviated as AdS/CFT) is a conjectured relationship between two kinds of physical theories. On one side are anti-de Sitter spaces (AdS) that are used in theories of quantum gravity, formulated in terms of string theory or M-theory.

  5. Lie algebra - Wikipedia

    en.wikipedia.org/wiki/Lie_algebra

    The correspondence between Lie algebras and Lie groups is used in several ways, including in the classification of Lie groups and the representation theory of Lie groups. For finite-dimensional representations, there is an equivalence of categories between representations of a real Lie algebra and representations of the corresponding simply ...

  6. Lie group–Lie algebra correspondence - Wikipedia

    en.wikipedia.org/wiki/Lie_group–Lie_algebra...

    This correspondence is one-to-one in both directions, so is bijective. Thus, the Lie algebra can be thought of as the tangent space at the identity and the bracket of X and Y in T e G {\displaystyle T_{e}G} can be computed by extending them to left-invariant vector fields, taking the bracket of the vector fields, and then evaluating the result ...

  7. Best response - Wikipedia

    en.wikipedia.org/wiki/Best_response

    Best response. In game theory, the best response is the strategy (or strategies) which produces the most favorable outcome for a player, taking other players' strategies as given ( Fudenberg & Tirole 1991, p. 29; Gibbons 1992, pp. 33–49).

  8. Sons of Liberty - Wikipedia

    en.wikipedia.org/wiki/Sons_of_Liberty

    The Sons of Liberty was a loosely organized, clandestine, sometimes violent, political organization active in the Thirteen American Colonies founded to advance the rights of the colonists and to fight taxation by the British government. It played a major role in most colonies in battling the Stamp Act in 1765 [1] and throughout the entire ...

  9. Communication - Wikipedia

    en.wikipedia.org/wiki/Communication

    Communication is commonly defined as the transmission of information. Its precise definition is disputed and there are disagreements about whether unintentional or failed transmissions are included and whether communication not only transmits meaning but also creates it.