Apply - Topological Properties

Topological Properties

In order theory, in the category of complete partial orders endowed with the Scott topology, both curry and apply are continuous functions (that is, they are Scott continuous). This property helps establish the foundational validity of the study of the denotational semantics of computer programs.

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Other articles related to "topological properties, topological":

Linear Continuum - Topological Properties - Applications of The Theorem
5 ... For an interesting example of a topological space that is a linear continuum, see long line ...
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... A topological game is an infinite positional game of perfect information played between two players on a topological space ... Players choose objects with topological properties such as points, open sets, closed sets and open coverings ... The conditions for a player to win can involve notions like topological closure and convergence ...

Famous quotes containing the word properties:

    The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.
    John Locke (1632–1704)