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The use of pairs of spaces is sometimes more convenient and technically superior to taking a
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Pair — The word pair, derived via the French words pair/paire from the Latin par equal , can refer to:* 2 (number), two of something * Topological pair, an inclusion of topological spaces. * Au pair, a work agreement * Couple, various senses for two… … Wikipedia
Dual pair — This article is about dual pairs of vector spaces. For dual pairs in representation theory, see Reductive dual pair. In functional analysis and related areas of mathematics a dual pair or dual system is a pair of vector spaces with an associated… … Wikipedia
Reductive dual pair — In the mathematical field of representation theory, a reductive dual pair is a pair of subgroups (G,G ′) of the isometry group Sp(W) of a symplectic vector space W, such that G is the centralizer of G ′ in Sp(W) and vice versa, and these groups… … Wikipedia
Characterizations of the category of topological spaces — In mathematics, a topological space is usually defined in terms of open sets. However, there are many equivalent characterizations of the category of topological spaces. Each of these definitions provides a new way of thinking about topological… … Wikipedia
Differentiation in Fréchet spaces — In mathematics, in particular in functional analysis and nonlinear analysis, it is possible to define the derivative of a function between two Fréchet spaces. This notion of differentiation is significantly weaker than the derivative in a Banach… … Wikipedia
Empty Spaces — Chanson par Pink Floyd extrait de l’album The Wall Pays Royaume Uni Sortie … Wikipédia en Français
Topological pair — In mathematics, more specifically algebraic topology, a pair (X,A) is short hand for an inclusion of topological spaces icolon Ahookrightarrow X. Sometimes i is assumed to be a cofibration. A morphism from (X,A) to (X ,A ) is given by two maps… … Wikipedia
Category of topological spaces — In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps. This is a category because the composition of two continuous maps is again… … Wikipedia
aces and spaces — noun A poker hand containing only a pair of aces … Wiktionary
paravesical spaces — a pair of subdivisions of the extraperitoneal space found lateral to the prevesical space … Medical dictionary
