保序商提升性质
Order preserving quotient lifting properties
摘要：
本文给出了保序商提升性质和紧提升性质。在Choquet单纯形上的仿射连续函数的情况下，我们证明了仿射连续函数空间和那些在可度量化面上消失的函数空间的紧商提升性质。
英文摘要：
In this paper we formulate order preserving quotient lifting property and the compact lifting property. In the case of affine continuous functions on a Choquet simplex, we show the compact quotient lifting property for the space of affine continuous functions and those vanishing on a metrizable face.
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