# countably many

## countably many

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- Carathéodory outer measure
- completely additive set function
- countable
- countably additive
- countably additive set function
- countably compact set
- countably infinite set
- countably metacompact space
- countably paracompact space
- countably subadditive
- countably subadditive set function
- Denumerable Set
- Hamel basis
- integral
- Logic, Many-Valued
- manifold
- Many-Valued Logic
- Markov chain
- Measure of a Set

exists for all but at most countably many [epsilon] > 0.

Eigenvalue problem (107) has countably many solutions ([w.sub.i], [[lambda].sub.i]) such that

(ii) the function [phi] has preimages of cardinality one except at countably many points of T.

Indeed by a countably many operations uunion and intersection" on the union {[A.sub.n]}[union]{[A.sub.n]}, one may construct A.

Since only countably many functions are involved in the proofs of the above theorems and as Bochner integrable functions have u-finite support, Theorem 2.2 and Theorem 2.3 are valid for any complete measure space.

He suggested to consider words with not just one but countably many additional unary operations.

as this holds for each of the countably many pairs (p, k) with p : E [right arrow] Q and k > 1, the thesis follows.

It follows that elements u(t) of [U.sup.p](I) are right-continuous, have left limits everywhere (including at b) and at most countably many discontinuities.

A fibre can be defined as a curve of class [C.sup.1] with finite length and a system of fibres as the union of at most countably many fibres that can have only the endpoints in common (see Stoyan et al.

184), while, in every formal system, only countably many are available.

(1970): "Markets with Countably Many Commodities" International Economic Review, 11(3), 369-377.

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- countably subadditive set function
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- countably metacompact space
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