Extensions of the Stone Duality to the category BooleSp

Autor:	Dimov, Georgi, Ivanova-Dimova, Elza
Rok vydání:	2020
Předmět:	Mathematics - General Topology 54B30 54D45 54D80 18A40 18B30 06E15 06E75
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.00097 Zobrazit plný text záznamu View this record from Arxiv