We continue the work started in [6] and show that all monotonically normal (in short: MN) spaces are maximally resolvable if and only if all uniform ultrafilters are maximally decomposable. As a consequence we get that the existence of an MN space which is not maximally resolvable is equi-consistent with the existence of a measurable cardinal. We also show that it is consistent (modulo the consistency of a measurable cardinal) that there is an MN space X with {pipe}X{pipe} = Δ(X) = ?_ω which is not ω_1-resolvable. It follows from the results of [6] that this is best possible.
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机译：我们继续从[6]开始的工作，并证明当且仅当所有统一的超滤器最大可分解时，所有单调正常（简称：MN）空间才是最大可分辨的。结果，我们得到了不能最大解析的MN空间的存在与可测基数的存在等价一致。我们还证明，存在一个具有{pipe} X {pipe} =Δ（X）=？_ω的MN空间X是一致的（以可测基数的一致性为模），它不是ω_1可解析的。从[6]的结果可以看出，这是最可能的。
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