**nonempty** — ˌ adjective : not empty ; specifically : containing at least one element nonempty sets * * * /non emp tee/, adj. Math. (of a set, group, collection, etc.) containing at least one element. [1935 40; NON + EMPTY … Useful english dictionary

**nonempty** — /non emp tee/, adj. Math. (of a set, group, collection, etc.) containing at least one element. [1935 40; NON + EMPTY] * * * … Universalium

**nonempty** — non·empty … English syllables

**Axiom of choice** — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of … Wikipedia

**Glossary of topology** — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … Wikipedia

**Nakamura number** — In cooperative game theory and social choice theory, the Nakamura number measures the degree of rationality of preference aggregation rules (collective decision rules), such as voting rules. It is an indicator of the extent to which an… … Wikipedia

**Connected space** — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected … Wikipedia

**Tychonoff's theorem** — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… … Wikipedia

**Helly's theorem** — In geometry, Helly s theorem is a basic combinatorial result on convex sets. It was proved by Eduard Helly in 1923, and gave rise to the notion of Helly family.tatement of Helly s theorem:Suppose that::X 1,X 2,dots,X n :is a finite collection of… … Wikipedia

**Finite intersection property** — In general topology, the finite intersection property is a property of a collection of subsets of a set X . A collection has this property if the intersection over any finite subcollection of the collection is nonempty.DefinitionLet X be a set… … Wikipedia