Acta Universitatis Matthiae Belii series Mathematics
 
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Acta Univ. M. Belii Ser. Math. 17 (2010), pp. 57-100. Download full version Download PDF PDF (582 KB)
Communicated with Miroslav Haviar
Received on 26. January 2010
Last revision on 24. September 2010
Accepted on 22. October 2010
Published online on 1. December 2010

Categorically-Algebraic Dualities
by Sergey A. Solovyov

Abstract
Keywords
bounded distributive lattice, categorically-algebraic topology, equivalence of categories, fuzzy (set; topology), (left; right) adjoint functor, (localic) alge- bra, (natural; Priestley; Stone) duality, relational (reduct; structure), sober topological space, spatial localic algebra, variety, (weak-) quasi-Stone algebra.
Mathematics Subject Classification
(2010) 08C20, 03E72, 54A40, 06D05, 18B30, 18A40.
BibTeX reference
@ARTICLE{aumb1704,
	author = {Sergey A. Solovyov},
	title = {Categorically-Algebraic Dualities},
	journal = {Acta Univ. M. Belii Ser. Math.},
	year = {2010},
	volume = {17},
	ages = {57--100},
	isbn = {987-80-557-0083-0}
}