Bounded set
Bounded set In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called ...
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Talk:Bounded set
Talk:Bounded set I moved some talk that was here ... frees this page for discussion specific to Bounded set. -- Toby Bartels 07:56, 2005 Mar 7 ... there is the notion of "regular limit" (bounded set = set contained in some space ...
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Bounded set (topological vector space)
Bounded set (topological vector space) In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero ...
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Bounded function
Bounded function In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded. In other words, there exists a ...
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Directed set   (translated from Japanese)
Directed set Directed set(The ゆ う like this the your palpus う う) with, ordered set , optionLimitation Subclass, it is kind of those which are bounded in regard to the order. When concept of directed set is used, for example series that ...
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Cantor set
Cantor set The Cantor set, introduced by German mathematician Georg Cantor, is ... numbers between zero and one. The Cantor set is defined by repeatedly removing the middle ... process is continued ad infinitum. The Cantor set consists of all points in the interval ... illustrated below. What's in the Cantor set? Since the Cantor set is defined ...
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Totally bounded space
Totally bounded space In topology and related branches of mathematics, a totally bounded space, or precompact space, is a space ... subsets. A related notion is a totally bounded set, or precompact set, in which only a subset of ...
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Syndetic set
Syndetic set Let $\backslash mathcal\{P\}\_f(\backslash mathbb\{N\})$ denote the set of finite subsets of $\backslash mathbb\{N\}$. Then a set $S\; \backslash sub\; \backslash mathbb\{N\}$ is ... in S \}. Thus syndetic sets have "bounded gaps"; for a syndetic set $S$, there is an ...
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Transitive set
Transitive set In set theory, a set (or class) A is transitive, if whenever ... of A. The transitive closure of a set A is the smallest (with respect to inclusion) transitive set B which contains A. Transitive classes ...
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Absorbing set
Absorbing set In functional analysis and related areas of mathematics an absorbing set in a vector space is a set S which can be inflated to include ... space X over a field F a set S is called absorbing if for all ... of absorbing sets is absorbing See also Bounded set (topological vector space)
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