首页 | 本学科首页   官方微博 | 高级检索  
     


Small Valdivia compact spaces
Authors:Wies?aw Kubi?  Henryk Michalewski
Affiliation:a Akademia ?wi?tokrzyska, Kielce, Poland
b Warsaw University, Warsaw, Poland
Abstract:We prove a preservation theorem for the class of Valdivia compact spaces, which involves inverse sequences of retractions of a certain kind. Consequently, a compact space of weight?1 is Valdivia compact iff it is the limit of an inverse sequence of metric compacta whose bonding maps are retractions. As a corollary, we show that the class of Valdivia compacta of weight?1 is preserved both under retractions and under open 0-dimensional images. Finally, we characterize the class of all Valdivia compacta in the language of category theory, which implies that this class is preserved under all continuous weight preserving functors.
Keywords:primary, 54D30   secondary, 54C15, 54B35
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号