Helly space
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In mathematics, and particularly functional analysis, the Helly space, named after Eduard Helly, consists of all monotonically increasing functions , where [0,1] denotes the closed interval given by the set of all x such that In other words, for all we have and also if then Let the closed interval [0,1] be denoted simply by I. We can form the space I I by taking the uncountable Cartesian product of closed intervals: : I^I = \prod_{i \in I} I_i The space I I is exactly the space of functions . For each point x in [0,1] we assign the point ƒ(x) in Helly's space is convex as a subset of \mathbb{R}^{[0,1]} .
In mathematics, and particularly functional analysis, the Helly space, named after Eduard Helly, consists of all monotonically increasing functions , where [0,1] denotes the closed interval given by the set of all x such that In other words, for all we have and also if then Let the closed interval [0,1] be denoted simply by I. We can form the space I I by taking the uncountable Cartesian product of closed intervals: I^I = \prod_{i \in I} I_i The space I I is exactly the space of functions . For each point x in [0,1] we assign the point ƒ(x) in Helly's space is convex as a subset of \mathbb{R}^{[0,1]} .
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