论文标题
石材二元性的扩展到类别布尔斯
Extensions of the Stone Duality to the category BooleSp
论文作者
论文摘要
在[G。 Dimov和E. ivanova-dimova，零维的Hausdorff空间的类别的两种延伸，Arxiv：1901.04537V4，1---33]，扩展了石材二重性定理，我们证明了Zdhaus的类别和Zdhaus的两个二元理论。现在，我们从它们衍生出石材二元定理的扩展到零维当地紧凑的Hausdorff空间的Boolesp类别和[G.中获得的连续图。 Dimov，《石材二元定理的一些概括》，出版物Mathematicae Debrecen，80（2012），255--293]，以及两个Boolest类别的新二元定理。
In [G. Dimov and E. Ivanova-Dimova, Two extensions of the Stone Duality to the category of zero-dimensional Hausdorff spaces, arXiv:1901.04537v4, 1--33], extending the Stone Duality Theorem, we proved two duality theorems for the category ZDHaus of zero-dimensional Hausdorff spaces and continuous maps. Now we derive from them the extension of the Stone Duality Theorem to the category BooleSp of zero-dimensional locally compact Hausdorff spaces and continuous maps obtained in [G. Dimov, Some generalizations of the Stone Duality Theorem, Publicationes Mathematicae Debrecen, 80 (2012), 255--293], as well as two new duality theorems for the category BooleSp.
