论文标题
使用缩回骨架的（半）埃伯林compacta的表征
Characterization of (semi-)Eberlein compacta using retractional skeletons
论文作者
论文摘要
我们深入研究了与合适模型相关的紧凑型空间中的缩回，该模型承认伸缩骨骼并发现了一些有趣的后果。最重要的是，我们使用缩减骨骼的概念为Valdivia Compacta提供了新的表征，在表征其子类时，这似乎很有帮助。此外，我们在伸缩骨骼的角度表征了Eberlein和Semi-Eberlein Compacta，并表明我们的新特征可以证明Eberlein Compact的连续形象是Eberlein的连续形象，以及Eberlein是Eberlein，以及对于半eberlein compacta的新稳定性结果，尤其是由KABIS和LEIDERMAN提出的一个公开问题，尤其是解决了一个开放的问题。
We deeply study retractions associated to suitable models in compact spaces admitting a retractional skeleton and find several interesting consequences. Most importantly, we provide a new characterization of Valdivia compacta using the notion of retractional skeletons, which seems to be helpful when characterizing its subclasses. Further, we characterize Eberlein and semi-Eberlein compacta in terms of retractional skeletons and show that our new characterizations give an alternative proof of the fact that continuous image of an Eberlein compact is Eberlein as well as new stability results for the class of semi-Eberlein compacta, solving in particular an open problem posed by Kubis and Leiderman.
