Order preserving quotient lifting properties
arXiv:2212.05095 · doi:10.1007/s11117-022-00907-z
Abstract
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.
12 pages