x,y,z as variables, and taking f to be an uninterpreted function, the singleton equation set { f(1,y) = f(x,2) } is a syntactic first-order unification...

Mathematics Japan Society for Industrial and Applied Mathematics Société de Mathématiques Appliquées et Industrielles International Council for Industrial and...

is a nonempty countable metric space with no isolated point, then each singleton { x } {\displaystyle \{x\}} in X {\displaystyle X} is nowhere dense, and...

Mathematics Japan Society for Industrial and Applied Mathematics Société de Mathématiques Appliquées et Industrielles International Council for Industrial and...

and S(a) = {a}. With this definition each nonzero natural number is a singleton set. So, the property of the natural numbers to represent cardinalities...

in other words, V n c / G {\displaystyle V_{n}^{\mathbf {c} }/G} is a singleton (see also rigid group). The conjugacy classes c 1 , … , c n {\displaystyle...

{\displaystyle x\in X} is the same as the neighbourhood filter of the singleton set { x } . {\displaystyle \{x\}.} A neighbourhood basis or local basis...

the colimit of the (constant sequence of the) endomorphism. Because the singleton ({*}, *) is the terminal object of Mag, and because Mag is algebraic,...

p. 89 Bourbaki, Nicolas (1970). Théorie des ensembles. Éléments de mathématique. Springer. ISBN 9783540340348. Eccles, Peter J. (11 December 1997). An...

Conversely, if X {\displaystyle X} is not discrete, then there is a singleton { x } {\displaystyle \{x\}} that is not open. Hence, every open neighbourhood...