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单词 noncompact
释义

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noncompact
noncompact adj.
Brit. /ˌnɒnkəmˈpakt/
,
/ˌnɒŋkəmˈpakt/
,
U.S. /ˌnɑnkəmˈpæk(t)/
,
/ˌnɑnˈkɑmˌpæk(t)/
not compact; (spec. in Mathematics, of a topological space) such that of any collection of open subsets whose union is the whole space, no finite number of these have a union that is the whole space.
ΚΠ
1917 Trans. Amer. Math. Soc. 18 177 Fréchet calls a set of points M compact if every infinite subset of M has at least one limit point... A set of points which does not possess this property is said to be non-compact.
1954 Proc. National Acad. Sci. U.S.A. 40 1150 The quotient G/K of a simple noncompact group with center reduced to {e} by a maximal compact sub-group.
1964 E. Bach Introd. Transformational Gram. v. 114 It is only at the lowest levels that the noncompact nature of the morphemes appears.
1990 Q. Jrnl. Math. 41 16 Let G be a noncompact locally compact topological group with a (left) Haar measure m.
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