Since (X, [tau]) is locally

countable, then by Theorem 1.3 (b), [[bar.U].sup.[omega]] = [bar.U].

Zdomskyy, "The topological structure of (homogeneous) spaces and groups with

countable cs*character," Applied General Topology, vol.

A point x [member of] X is called a point of

countable type if there exists a compact subset F with a

countable base of open neighborhoods {[U.sub.n]: n [member of] N} in X such that x [member of] F.

A portion of your unreimbursed medical expenses (what you paid out of pocket after medical insurance pays) may reduce your

countable income.

It implies that there exists (at most) a

countable subset E in [epsilon] such that

* S is said to be strongly left reversible, if there is a family [([S.sub.[gamma]]).sub.[gamma][member of][GAMMA]] of

countable left reversible sub-semigroups of S satisfying the conditions 1 and 2 of the previous definition.

In Polish, bagaz 'luggage' and mebel 'furniture' denote discrete entities, consequently, bagaz SG, bagaze PL and mebel SG, meble PL are

countable nouns.

As a result [R.sub.[mu]](A) is weakly compact.] Next suppose D [subset or equal to] [bar.[U.sup.w]] with D [subset or equal to] [bar.co]({0} [union] [R.sub.[mu]](D)) and with [bar.[D.sup.w]] = [bar.[C.sup.w]] and C [subset or equal to] D

countable. Then since [R.sub.[mu]](D) [subset or equal to] co({0} [union] H{D)) and {0} [union] co({0} [union] H(D)) = co({0} [union] H(D)) we have

Because of the differences in (uniform or less uniform) conceptualization we cannot predict whether the noun denoting a particular entity is

countable or not.

That's because a SPIA owned by and payable to the healthy stay-at-home community spouse will generally not be considered a "

countable asset" for purposes of qualifying the institutionalized spouse for Medicaid.

If V has the

countable basis [{[[upsilon].sub.i]}.sub.i[member of]N] as in [SS13], then there are no non-trivial [S.sub.[infinity]]-invariants in its tensor powers [V.sup.[cross product]k] since every element in these vector spaces is a finite linear combination of the basis elements.

Let G = {0,1,2, ...} be a

countable state space and {[X.sub.t], t [member of] T} a collection of G-valued random variables defined on the probability space ([OMEGA], F, P).