ZF中出生学双宇宙的准度量化
Quasi-Metrizability of Bornological Biuniverses in ZF
摘要：
本文证明了Hu关于拓扑宇宙的度量化定理在ZF中成立，并将其推广到双拓扑空间中拓扑的拟度量化定理。研究了拟度规几何宇宙的一致拟度量化问题。在广义拓扑空间中，得到了Delfs和Knebusch意义下的自然拓扑的几个结果.一些关于代数学的（一致）-（拟）-度量化的陈述被证明是相对独立于ZF的。
英文摘要：
Hu's metrization theorem for bornological universes is shown to hold in ZF and it is adapted to a quasi-metrization theorem for bornologies in bitopological spaces. The problem of uniform quasi-metrization of quasi-metric bornological universes is investigated. Several consequences for natural bornologies in generalized topological spaces in the sense of Delfs and Knebusch are deduced. Some statements concerning (uniform)-(quasi)-metrization of bornologies are shown to be relatively independent of ZF.
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